Use substitution to solve the system. 5X+3Y=22 Y=2X-11

Answers

Answer 1

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.

Comprehending

We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.

This is what we would call System of Equations where we need to find the point where the lines hit.

We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.

Now that we know how to solve it/what to do, we can start solving.

Solving

We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.

[tex]y=2x-11\\5x+3y=22[/tex]

We can solve it by inserting our y value into the y value of the second equation.

[tex]5x+3(2x-11)=22\\5x+6x-33=22\\11x=22+33\\11x=55\\x=5[/tex]

Now that we know our x value, we can solve for y by inserting it into an equation.

[tex]y=2(5)-11\\y=10-11\\y=-1[/tex]

Now that we have solved, we have gotten out point of (5,-1)

We can test this by inputting it into an equation. (Any of the latter).

[tex]5(5)+3(-1)=22?\\25-3=22?\\22=22[/tex]

Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).

Answer 2

Answer:

(5, - 1 )

Step-by-step explanation:

5x + 3y = 22 → (1)

y = 2x - 11 → (2)

Substitute y = 2x - 11 into (1)

5x + 3(2x - 11) = 22 ← distribute parenthesis and simplify left side

5x + 6x - 33 = 22

11x - 33 = 22 ( add 33 to both sides )

11x = 55 ( divide both sides by 11 )

x = 5

Substitute x = 5 into (2)

y = 2(5) - 11 = 10 - 11 = - 1

solution is (5, - 1 )


Related Questions

OMG help.
What is 1+1?

Answers

Answer:

2

Step-by-step explanation:

Hahaha thank you

Answer:

2

Step-by-step explanation:

1 plus 1 is two use ur fingers

The polynomial f(2) = 2? + 432 - 594 is a parabola. The parabola's x-intercepts are (11, 0) and (-54, 0). Give the factored form of the
polynomial.

Answers

725182626282527736282628

The slope of the line that passes through the points (10,8) and (4,12)

Answers

Answer:2/3

Step-by-step explanation:

10-4=6

12-8=4

4/6=2/3

Find the equation of a line that passes through (1,9) and is parallel to the graph of y=3x+4. Write the equation in​ slope-intercept form, if possible. Select the correct choice below and fill in the answer box to complete your choice. The equation of the parallel line in​ slope-intercept form is
enter your response here.
​(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ equation.)
B.
The equation of the parallel line cannot be written in​ slope-intercept form. The equation of the parallel line is
enter your response here.
​(Simplify your answer. Use integers or fractions for any numbers in the​ equation.)

Answers

7=2x+b

Because the slope of Noah Garcia’s nose is bigger

The number of trees and the number of apples are given in the table above. Determine which statement below is correct.
1. The table is proportional and the unit rate is 1/13
2. The table is proportional and the unit rate is 13.
3. The table is not proportional.

Answers

Answer:

2.

Step-by-step explanation:

The number of trees times 13

Convert 84 grams into milligrams.

Answers

Answer:

The answer is 84000 milligrams

Step-by-step explanation:

The formula is to multiply the mass value by 1000

Answer:

84000 mg

Step-by-step explanation:

1 gram = 1000 mg so 84 times 1000 is 84000

What is the ratio of apples to bananas?

Choose 1 answer:
Choose 1 answer:

(Choice A)
A
3 :4

Answers

Answer:

a

Step-by-step explanation:

it has the same a prime bundle

Solve for a
a + 4/5 = 1 1/2
Enter your answer as a fraction in simplest form in the box.

Answers

Answer:

a=47/10

Step-by-step explanation:

There is a population of 10,000 bacteria in a colony. If the number of bacteria doubles every 240 minutes, what will the population be 480 minutes from now? bacteria

Answers

10,000- starting amount.
240 min 20,000
*480 min 40,000*
960 min 80,000

The relationship between the number of gallons of water in a tank and number of hours is proportional. One point on the line modeling the relationship is ​(2​,7200​). Find the slope of the​ line, and draw a graph. Use the graph to find how long it will take to fill the tank if it holds 72,000 gallons.

The slope of the line is __

Answers

Answer:

Step-by-step explanation:

I am assuming the tank starts empty. It means that in 1 hour the tank has half that water, or 3600 gallons. And the good thing of lines passing through 0.0 is that the value at 1 IS the slope we need. ie 3600.

At this point it's easy to find that if in 2 hours it filled 1/10th of the tank, in 20 hours the tank will be full.

Graph done with paint, obviously not to scale.

whoever answers i’ll mark brainliest

Answers

Answer:

D is (-5,0)

E is (-1,2)

F is (-3,-2)

Step-by-step explanation:

:P

What times 5/8 equals 1

Answers

Answer:

1.6

Step-by-step explanation:

5/8 = .625

1/.625 = 1.6

.625* 1.6 = 1

Answer:

8/5.

Step-by-step explanation:

That is the inverse of 5/6:- 8/5.

Use the model to find the missing number in the pair of equivalent expressions.

15 + 9 = ?(5 + 3)

What number is missing from the expression?

Answers

Answer:

3

Reasoning:

[tex]3(5+3)=15+9[/tex]

Distribute three to the numbers to get 15+9.

Please help me and
explain how you got the answer

Answers

Answer:

x = 7°

Step-by-step explanation:

∠WST is an exterior angle of the triangle

The two interior angles (5x - 1) and (57) add up to WST ( 12x + 7) because they are the non-adjacent interior angles

Solve:

(5x - 1) + (57) = (12x + 7)

5x - 1 = 12x - 50

-1 = 7x - 50

49 = 7x

x = 7

-Chetan K

equation of the line that passes through the point (4,–5) and is perpendicular to the line y=1/3x+5

Answers

Answer:

y=1/3x+5 hope it helps you

Without calculating, explain how you can tell if the value of the expression (-2.37) - (.7.91) - (2.45)?

Answers

Answer:

33343555

4

3

4

34

2354555444

5224

34

32555555

555

5

32

55233=3=44

Step-by-step explanation:

Round 70.74 to 2 significant figures

Answers

The answer is 71 since you count from the tenth space. So the first significant figure would be 7 and the second significant figure would be 0. As we know that we round up one number of the previous number is 5 or bigger.

There are 1580 adults and children on a ship. 60% of them are adults. When the ship arrives are harbour, some of the students alight and the percentage of adults remaining on the ship decreases by 20%. How many adults alight from the ship?

Answers

Answer:

1580÷100×60

=948

60%=948

60-20

=40

1580÷100×40

=632

948-632

=316

MARK ME BRAINLIEST PLS I WILL GET A NEW RANK!!

please help me on this!! it’s my last question

Answers

Answer:

why it in pink and ur supposed too x them then divide


Please help me :)
HIGGJFFJH

Answers

Answer:

128/512 or 1/4

Step-by-step explanation:

(2 x 2 x 2 x 2) x (2 x 2 x 2)= 16 x 8 = 128

-------------------------------------------------

(2 x 2 x 2 x 2 x 2) x (2 x 2 x 2 x 2)= 32 x 16 = 512

Sub :- Linear Equations

Answers

Hiiiiiiiiiiiii

The value of x is 1 & y is 2 (a).

Steps are attached.

______

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Which expression simplifies to 5√3?

Answers

Answer:

C.

[tex] \sqrt{75} [/tex]

Step-by-step explanation:

You can just enter it in the calculator to see which is equal to

[tex]5 \sqrt{3} [/tex]

I have tried to answer this every method I can and I can't solve it​

Answers

Answer: P1: 17.61 P2: 14.66

Step-by-step explanation:

P1: take total divide by how many numbers used : 229 divided by 13 =17.61

P2: take total divide by how many numbers used : 88 divided by 6= 14.66

27. A prime factor of 2310 is chosen at random. What is the
probability that the chosen factor will be greater than 7?

Answers

Step-by-step explanation:

The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11. Since it has a total of 5 prime factors, 2,310 is a composite number.

The probability of chosen factor will be greater than 7 will be ( 1 / 5 ).

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that a prime factor of 2310 is chosen at random. The probability will be calculated as:-

The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11.

Favourable outcome = 11 = 1

Total outcomes = ( 2,3,5,7,11) = 5

Probability = ( 1 / 5 )

Therefore, the probability of chosen factor will be greater than 7 will be ( 1 / 5 ).

To know more about probability follow

https://brainly.com/question/24756209

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I need help with this one to / surface area :)

Answers

Answer:

389.9 to 1 decimal place

If you need another explanation comment on this one

Step-by-step explanation:

the surface area (base area plus side wall) of a cone is, when we have the radius and the length of the slanted side wall :

SA = pi×r×(r + l)

in our case here

r = half of the diameter = 12/2 = 6 m

l = 13.4 m

so, we have

SA = pi×6×(6 + 13.4) = pi×6×19.4 = 365.6813849... m²

The value of the expression -20 - 16 is
1)26
2)14
3)-14
4)-26

Answers

Answer:

I think -1(20+16)= -1(36)= -36

Answer:

-36

Step-by-step explanation:

-20 - 16

=> -36.

Unfortunately, there is no option of -36. Please include -36 in one of the options.

Help please Ill give brainlest!

Answers

Answer:

1. A.

2. C.

Step-by-step explanation:

1. these angles are corresponding because if the line passes through parallel lines 1-6, 2-5,3-7,4-8 will all be corresponding angles

2.

Since 2 and 5 are corresponding angles they will have the same degree measures

Evaluate the following formula for

Please help
I will mark as brainliest if its correct :)



NO LINKS YOU WILL BE REPORTED AND BANNED MARK MY WORD

Answers

Answer:

Step-by-step explanation:

Using provided formula and filling in the variables:

z = [tex]\frac{(0.6-0.7)-(0)}{\sqrt{\frac{0.615782*0.384218}{88}+\frac{0.615782*0.384218}{82} }}[/tex]

Filling in in calculator:

z ≈ -1.34

14. Find the area of this rectangle.

Answers

Answer:

8×7 = 56 cm^2

.....................

Answer:

Step-by-step explanation:

The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width.

so

8 × 7 = 56 cm²

hi guys. been trying to learn how to figure out these types of questions. having heaps of trouble. would someone be able to explain for me thankq

Answers

Step-by-step explanation:

you multiplie elements in order

first you multiple 2v by 4,than 2v by -v,than -q by 4 and finally -q by -v

it will be 8v+2v^2-4q+qv

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