Find the solution:
3x + 2y = 12
-2x + 3y = 5

Answers

Answer 1

Answer:

x = 3

y = 2

Step-by-step explanation:

3x + 2y = 12

-2x + 3y = 5 to find the solution we will use elimination method and for that, multiply second equation with 3 and the first equation with 2

2 * 3x + 2y = 12

6x + 4y = 24

3 * -2x + 3y = 5

-6x + 9y = 15  now find the sum of both equation:

6x + 4y  -6x + 9y = 24 + 15 add like terms

13y = 39 divide both sides by 13

y = 3 now that we found the value of y we can use this to calculate the value of x

3x + 2y = 12 replace y with 3

3x + 2*2 = 12

3x + 4 = 12 subtract 4 from both sides

3x = 9 divide both sides by 3

x = 3


Related Questions

Two similar triangles are shown below:

Two triangles are shown. The sides of the triangle on the left are marked 6, 4, 3. The sides of the triangle on the right are marked as 3, 2 and 1.5. For the triangle on the left, the angle between sides marked 4 and 6 is labeled as w, marked by a double arc, and the angle between the sides marked 6 and 3 is labeled as x, marked by a single arc. The third angle is marked by a triple arc. For the triangle on the right, the angle between sides marked 3 and 1.5 is labeled as y and the angle between the sides marked 2 and 3 is labeled as v, marked by a double arc. The angle between the sides 2 and 1.5 is labeled as z, marked by a triple arc, and it is also the angle on the top vertex of this triangle.

Which two sets of angles are corresponding angles?

∠w and ∠v; ∠x and ∠y
∠w and ∠y; ∠x and ∠v
∠w and ∠z; ∠x and ∠v
∠w and ∠z; ∠x and ∠y

Answers

Two sets of angles are corresponding angles will be ∠w = ∠v and ∠x = ∠y. Then the correct option is A.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Two similar triangles are shown below:

Then two sets of angles are corresponding angles will be

∠w = ∠v and ∠x = ∠y

Then the correct option is A.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

Please help!!!!!!!
picture below

Answers

Answer:

the first equation could be something along the lines of [tex]y=3x^{2}[/tex] then the second is [tex]y=3x^{2} -3\\[/tex]

Step-by-step explanation:

this is how shifting works

The total number of degrees in the center is 360°. if all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles? 54° 72° 108° 144°

Answers

Answer:

54°

Step-by-step explanation:

Since the 5 vertex angles are congruent, each vertex angle = 360/5 = 72°

The sum of the angles of each triangle is 180-72 = 108°

The base angles of each triangle are equal to each other so each base angle = 108/2 = 54°

(08.02)How many solutions are there for the system of equations of shown on the graph?
O No solution
O One solution
O Two solutions
O Infinitely many solutions

Answers

Answer: B. One solution

Step-by-step explanation: As you see, both of these lines intersect on the point (0, 3). The point where the lines intersect is the solution. Since these lines are perpendicular, they will only intersect one time. Therefore, there is only one solution, that being (0, 3).

I hope this helps!! Pls mark brainliest :)

rewrite to solve for y
12y+d=-19y+t

Answers

When we say to solve for something

 ⇒ essentially move everything to one side

    ⇒ and that 'something' to the other

In this case:

 ⇒ we need to move the y-variable by itself to one side

   ⇒ and everything else to the other

Let's apply that principle:

 [tex]12y+d=-19y+t\\12y+19y=t-d\\31y=t-d\\y=\frac{t-d}{31}[/tex]

   

Answer: (t-d) / 31

Hope that helps!

#LearnwithBrainly

Answer:

this right here

Step-by-step explanation:

31y=t-d

Find X = Find Y= please help ty :)​

Answers

Answer:

X = 125° and Y = 75°

Step-by-step explanation:

Y = 75° because the line the bisects two parallel lines. When this happens, the angles at the corners are identical.

To find the value of "X", I first found the value of the last angle in the triangle. I found this by performing the following:

180° - 55° - 75° = 55°

The value of this missing angle is 55°. To find "X", I subtracted this value from 180°. I did this because lines always equal 180°

180° - 55° = 125°

X is 125 and Y is 130

dentify the method that will be used in solving for x.

5 + x = three-fourths
distributive property
multiplication property of equality
division property of equality
subtraction property of equality

Answers

Answer:

I believe you're trying to say 5+x= 3/4

Please help!!!!!!!
picture below

Answers

Answer:

This would shift the equation to the right by 5

Step-by-step explanation:

A child’s building set contains a brick with dimensions 63 x 31 x 18mm . Assume this brick is a replica of a real brick that has a greatest side length of 23 cm, determine the surface area and volume of the real brick. (Please can someone help me )​

Answers

The surface area and volume of the real brick will be 983.2 cm²and 1738.11 cm³ respectively.

What is volume?

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The scale factor is ;

r = 630 cm /23

r = 27

L = 23 cm

b = 310 / 27 = 11.48 cm

h = 180/27 = 6.6 cm

The surface area of the brick;

A = 2(lb+bh+hl)

A = 2( 23 ×11.48+11.48×6.6+6.6×23)

A= 983.2 cm²

The volume of the brick is;

V= lbh

V=23 × 11.45 ×6.6

V=1738.11 cm³

Hence the surface area and volume of the real brick will be 983.2 cm² and 1738.11 cm³ respectively.

To learn more about the volume, refer to https://brainly.com/question/1578538

#SPJ1

The swimming pool at Spring Valley High School is a rectangle with a width of 70 meters and a length of 30 meters. Around the perimeter of the pool is a tiled floor that extends w meters from the pool on all sides. Find an expression for the area of the tiled floor.

Answers

The expression for the area of the rectangular swimming pool is given as follows:

A = w² + 100w + 2100.

What is the area of a rectangle?

The area of a rectangle of length l and width w is given by the multiplication of these measures, that is:

A = lw.

In this problem, considering the width of 70 meters and a length of 30 meters, plus the floor of w meters, we have that:

l = 30 + w.wi = 70 + w.

Hence the area is given as follows:

A = l x wi = (30 + w)(70 + w) = w² + 100w + 2100.

More can be learned about the area of a rectangle at https://brainly.com/question/10489198

#SPJ1

When the function f(x) = 3(5)x is changed to f(x) = 3(5)x + 22, what is the effect? (5 points)

Group of answer choices

There will be no change to the graph because the exponential portion of the function remains the same.

The y-intercept is 22 spaces higher.

The x-intercept is 22 spaces higher.

All input values are moved 22 spaces to the right.

Answers

Answer:

The y-intercept is 22 spaces higher.

Step-by-step explanation:

Find the value of X.

Answers

Answer:

x=6

Step-by-step explanation:

check the scale factor by the fraction 10/5

after/before

it simplifies to 2 meaning that the second triangle is two times the size of the first

then take 3 fron segment AB to the similar segment DE and times it by the scale factor(2)

2×3=6

Answer:

6

Step-by-step explanation:

since AC = 5. and DF = 2(5) = 10

FW = 2(4)=8 DE= 2(3) = 6

therefore x = 6

decimal form of rational numbers 1/11

Answers

Answer:

1/11 = 0.090909090909090909........................

In the year 1999, the surface elevation of Lake Powell was 3893 feet above sea level. In the year 2005, the surface elevation of Lake Powell was 3425.6 feet above sea level. Interpret the rate of change in this situation.

Answers

Answer:

Rate of Change = -77.9 feet/year

My interpretation: "Is Bad."

Step-by-step explanation:

The rate of change is the number of feet that Lake Powell dropped, divided by the number of years the drop took place.  We want a value with a unit of feet/year.

Year    Feet

1999     3893

2005    3425.6  

Change

Year = (2005 - 1999)  or 6 years

Feet = (3425.6 - 3893) or -467.4 feet

Rate of Change = (-467.4 feet)/(6 years)

Rate of Change = -77.9 feet/year

=======================

FYI:  Lake Powell is 22.39 feet lower today (June 23, 2022) than it was 1 year ago.

what is 8.31752 to the correct 3 decimal places

Answers

8.318 is the correct answer.

when it says 3 decimal places, it means there has to be 3 digits AFTER the decimal point. so you count after the decimal point from left and it’s .317 and since the number after 7 is 5 (5 and above would cause the number before it to round), that will round it to 8.318

Answer:

8.31752 to correct 3 decimal places =

Step-by-step explanation:

8.318

brainiest pls it helps

Which function is graphed below?
-

Answers

Answer:

y=3 (1/3)x

Step-by-step explanation:

On a graph, the closest graph you pictured is this answer

Answer:

y =  [tex]3 (\frac{1}{3} )^{x}[/tex]

Step-by-step explanation:

Step 1:

Check the y-intercept; in the graph, when x = 0, y = 3. Which equation satisfies this?

y = [tex]\frac{1}{3}[/tex] [tex](3)^{x}[/tex] = [tex]\frac{1}{3}[/tex] [tex](3)^{0}[/tex] =        [tex]\frac{1}{3}[/tex]      ❌

y = [tex]3 (\frac{1}{3} )^{x}[/tex]  = [tex]3 (\frac{1}{3} )^{0}[/tex]  = 3          ✅

y =  [tex](\frac{1}{2} )^{x}[/tex] + 2  = [tex](\frac{1}{2} )^{0}[/tex] + 2 = 3  ✅

So the last two equations are possible.

Step 2:

Now check the y-value on the graph for any other x-value, whose corresponding y-value can be easily estimated from the graph.

For example, when x = 2, the y-value is between 0 and 1.

• 2nd equation: y = [tex]3 (\frac{1}{3} )^{x}[/tex]  =  [tex]3 (\frac{1}{3} )^{2}[/tex] = 0.333               ✅

• 3rd equation:  y =  [tex](\frac{1}{2} )^{x}[/tex] + 2 = y =  [tex](\frac{1}{2} )^{2}[/tex] + 2 = 2. 25  ❌

∴ 2nd equation (y = [tex]3 (\frac{1}{3} )^{x}[/tex] ) is the one being represented by the graph.

PLEASE IM GONNA CRY MAY GOD BLESS YOU IF YOU WILL ANSWER DONT JOKE

Answers

Good day my friendly person, I am sorry to inform you that I will not be able to provide an answer because the picture is simply too blurry.
U should make a new one if you want someone to help it’s way blurry sorry I couldn’t give u the answer! Have a great day or night

how many spherical balls of diameter 15cm can be covered by 40 square metres of material

Answers

Answer:

It's very simple: divide the 40 m² area by area of 1 one sphere

[tex] \frac{40 \: m {}^{2} }{3.41 \times 15m {}^{2} } = 565[/tex]

The length of a rectangle is 8 cm more than four times the width. If the perimeter of the rectangle is 46 cm, what are the dimensions? ​

Answers

Answer:

length = 20 cm

width = 3 cm

Step-by-step explanation:

Eleven upright dominos of increasing height are lined up to be knocked down. The dominos are numbered 0 to 10. The smallest domino, #O, is 3.00 inches tall and will be top- pled by a person to start the chain reaction. Each subsequent domino is 19% taller than the one before. What is the height of domino #10?

Answers

The height of domino number 10 is 56.9 inches.

What is a function?

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The exponential function:-An exponential function is given by:

y = abˣ

where a is the initial value of y at x = 0, y, x are variables and b is the multiplication factor

Let y represent the height of the number x domino

Since the height of the smallest domino no 0 is 3 inches, hence a = 5. b = 100% + 19% = 1.19

y = 10(1.19)ˣ

For x = 10:

y = 10(1.19)¹⁰= 56.9 inches

Therefore the height of domino number 10 is 56.9 inches.

To know more about function follow

https://brainly.com/question/2833285

#SPJ1

2
Select the correct answer.
What is the solution to the equation?
3+√3x5 = x
O A.
-2 and -7
OB.
2 and 7
O C.
-2
OD. 7

Answers

The solution to the equation is x = 7 , -2 , Option C and D is the right answer.

What is an Equation ?

An equation is a mathematical statement formed when two algebraic expression are equated by an equal sign.

It is given that the equation is

[tex]\rm 3 +\sqrt{3x - 5}= x[/tex]

Taking square on both sides

3x-5 = (x-3)²

3x-5 = x² +9 -6x

x² -9x -14 = 0

x² -7x +2x -14 = 0

x(x-7) +2(x-7) = 0

(x-7)(x+2) = 0

x =7 , x = -2

Therefore the solution to the equation is x = 7 , -2 , Option C and D is the right answer.

To know more about Equation

https://brainly.com/question/10413253

#SPJ1

Yuki wants to make a reduced-size copy
of a drawing. The original drawing is
14 inches long. Yuki's copier can only
reduce by 75%. Find the length of a copy
after Yuki reduces it 4 times at 75% each
time. Round your answer to the nearest
hundredth of an inch.

Answers

the answer is about 4.43 because by taking 75 percent each time, you are multiplying the already reduced drawing by 25 percent or keeping 75 percent. therefore the equation is 14 * 0.75^4 which leads to 4.43. This is a model for exponential growth

How many gold medals the team won?
144 /360

Answers

Answer:

The team won 144 gold medals

Step-by-step explanation:

A fraction tells us how many parts of a whole we have

144 / 360 translated into words is 144 out of 360

144 is the part and the 360 is the whole (total)

We want to identity the amount of gold medals the team won had 360 opportunity medals and have 144 of them.

Learn more about Fractions here: https://brainly.com/question/1622425

Instructions: Simplify the algebraic expression.

[tex]4(-4x-\frac{3}{2} )[/tex]

Answers

just distribute the four to both terms:

so the answer is -16x - 6

Bailey and julie go running during their lunch break. bailey ran x miles while julie ran 3x miles. what information can we gather about the relationship between the number of miles bailey and julie ran?

Answers

The information we can see from the given data is that the speed of Julie is three times the speed of Bailey.

What is speed?

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given that:-

Bailey and Julie go running during their lunch break. bailey ran x miles while Julie ran 3x miles.

The speed of Bailey = x miles

The speed of the Julie = 3x miles

The ratio of the speeds will be given as:-

J / B = 3x / x

J / B = 3

J = 3 B

Therefore information we can see from the given data is that the speed of Julie is three times the speed of Bailey.

To know more about Speed follow

https://brainly.com/question/6504879

#SPJ1

Peter gave away 5/12 of his marbles and had 70 left how many marbles he had at first

Answers

Answer:

There were 120 marbles to start

Step-by-step explanation:

Let x be the number of marbles at the start

x* 5/12 = number of marbles given away

1 -5/12 = 7/12 = fraction of marbles left

x * 7/12 = number of marbles left

x * 7/12 = 70

Multiply each side by 12/7

x *7/12 * 12/7 = 70 * 12/7

x =120

There were 120 marbles to start

Which system of equations can be used to find the roots of the equation 4x/2=x/3+2x

Answers

The system of equation can be used to find the root of the equation is y= x³-4x² +2x and y=0 , y=4x² and y= x³+2x

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

y=-4x²

y= x³+2x

By equating the above equation we have

-4x²=x³+2x

Now, y= x³-4x² +2x

and y=0

By equating the above equation we have

x³-4x² +2x=0

y=4x²

y= -x³-2x

By equating the above equation we have

4x²=-x³-2x

Lastly,

y=4x²

y= x³+2x

By equating the above equation we have

4x²=x³+2x

Hence, the equation can be used is y= x³-4x² +2x and y=0 ,

y=4x² and y= x³+2x

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ1

Simplify the exponential expression 48 ^1/2
O 2 (24^1/2)
O 3 (16^1/2)
O 4 (3^1/2)
O 16 (3^1/2)

Answers

Step-by-step explanation:

Hi There! Let me help you :)

To answer this question, we have to know about the way to simplify it. First, you find the factor of 48.

[tex] = {48}^{ \frac{1}{2} } [/tex]

[tex] = {(16 \times 3)}^{ \frac{1}{2} } [/tex]

[tex] = {16}^{ \frac{1}{2} } \times {3}^{ \frac{1}{2} } [/tex]

[tex] \: [/tex]

—Use the general formula of the exponential, where a^m/n = ^n√a^m.

[tex] \: [/tex]

[tex] = {16}^{ \frac{1}{2} } \times {3}^{ \frac{1}{2} } [/tex]

[tex] = \sqrt[2]{16} \times {3}^{ \frac{1}{2} } [/tex]

[tex] = 4 \times {3}^{ \frac{1}{2} } [/tex]

The answer is C.

Solve the problem 4(a+3)=-32

Answers

[tex]4(a + 3) = - 32 \\ 4a + 12 = - 32 \\ 4a = - 32 - 12 \\ 4a = - 44 \\ a = - 11[/tex]

Hope it helps

Please give brainliest

Step-by-step explanation:

4(a+3)=-32

4(a+3)/4=-32/4

(a+3)=-8

a+3-3=-8-3

a=-11

A sample has a sample proportion of 0.3 . Which sample size will produce the
widest 95% confidence interval when estimating the population parameter?

Answers

Answer: A 100

I did the text the other day

A sample size of 50 will produce the widest 95% confidence interval when estimating the population parameter.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

To produce the widest confidence interval, we need to choose the smallest sample size.

This is because as the sample size decreases, the margin of error increases, leading to a wider confidence interval.

Among the given options, the smallest sample size is 50.

Therefore, selecting a sample size of 50 will produce the widest 95% confidence interval when estimating the population parameter.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ7

Other Questions
16Select the correct answer from each drop-down menu.4Each participant tastes snack A and snack B and then chooses their favorite. Some participants have eaten snack A before and some have notThe results of the test are shown in a table. Using the data in a table, the company that makes snack A calculates probabilities related to arandom selected person.Has Eaten Snack AbeforePrefers Snack A1442 Edmentum. All rights reserved.Type here to searchPrefers Snack BHas Not Eaten108Snack A beforeTotal252320Complete the conclusions based on the data in the table.92O228Total236Given a person who has eaten snack A before, the customer willGiven a person who has not eaten snack A before, the customer will want to eat snackReset336572Next75F Sunny Aave & Exit6:46 AM6/30/2022 Angle QRS is bisected by ray RP. If angle QRP is 60 degrees, what would be the measure of angle QRS? this answer doesnt't answer my question IT IS WRONG!!!!!!!!!There is a bag filled with 3 blue and 5 red marbles.A marble is taken at random from the bag, the colour is noted and then it is replaced.Another marble is taken at random.What is the probability of getting 2 blues?answer this properly please The coordinates of the vertices of ABC are A(2,2), B(5,3), and C(4,1). Identify the perimeter of ABC. Round each side length to the nearest tenth before adding. Use trigonometry to find the height of the triangle. Then use the height to find the area. Round to the nearest hundredth All John asked Maggie for was a dollar, but she would not give it to him. Sure she had the money, but it was her money. She grew up with money, and she planned to keep it that way. She didnt even spend a lot of money. She just liked having it. What is the best way to describe the characterization of Maggie? Which equation best describes this line? As an individual ages, new neurons and dendrites appear, but others atrophy. Compared to when they were adolescents, adults have fewer neural connections and their brain size _____ as they continue to age. State three differences between rural-urban drift to the rural area Two dice are thrown. Determine the probability of obtaining a score of at least 4. can a person run at a speed of 20 meters per second Suppose you are called upon to give a toast or tribute speech to someone you believe is not deserving. You can think of a fictitious or real person. Discuss how you would go about preparing and delivering this speech. Also discuss how you would still be true to your own principles as well as conduct yourself in an ethical and professional manner. When your upset your _ to get into a crash compared to when your not upset ? John has $10,000 in debt with discover, $4,000 in debt with chase, $9,000 in debt with citi bank, and $3,000 in debt with wells fargo, giving him a total debt of $26,000. what percentage of john's total debt is with discover NEED HELP ASAP !!!!Which graphs represents the compound inequality x 5 orx 5? If sin(theta) = 4/7, what is cos(theta)? PLEASE HELP! PLEASE ANSWER ASAP ACTUALLY ANSWER PLEASE AS SOON AS YOU CAN PLEASE I NEED ITGraph the quadratic equation. Zoom and pan your graph to establish an appropriate viewing window.X^2 + 2x - 24 = 0 What is the biggest concern with using natural resources?cost effectivenessO replenishing resourcesstopping all use of resourcesforeign buyers of resources Pls solve with working out. Ok thanks 1. Identify your variables using let statements. 2. Determine the equations for the linear system. 3. Determine the solution to the linear system (point of intersection) 4. Explain the meaning of the solution using a therefore statement. You own a catering company and are in charge of an engagement party. There are two dinners: a chicken dish, which costs $40, and a lobster dish, which costs $70. The 250 party guests have ordered their meals in advance, and the total cost to prepare the dinner is $13 570. How many of each type of dinner are you preparing?