When the equation -3x − 5y = -5 is subtracted from -10x + 5y = -60, a third linear equation, -13x = -65, is formed, and it has a different solution from the original equations.

Answers

Answer 1

Answer:

The value of x is 5 and the value of y is -2

Step-by-step explanation:

If the question is to determine the values of x and y, this can be related to the elimination method for solving simultaneous equations.

From the third linear equation, -13x = -65, the value of x can be determined.

-13x = -65

Divide both sides by -13

Then,

-13x/-13 = -65/-13

x = 5

∴ The value of x is 5.

To determine the value of y, the value of x is substituted into any of the first two equations. Say -10x + 5y = -60

-10x + 5y = -60

Substitute x = 5 into the equation

-10(5) + 5y = -60

-50 + 5y = -60

Add 50 to both sides

-50 +50 + 5y = -60 +50

Then,

5y = -10

Divide both sides by 5

5y/5 = -10/5

y = -2

∴ x = 5, y =-2

Hence, the value of x is 5 and the value of y is -2.


Related Questions

a box of chocolates contains four milk chocolates, four dark chocolates, and three white chocolates. you randomly select one chocolate. what is the probability that it is a milk or dark chocolate? (fractions)
a. 7/11
b. 16/121
c 4/11
d. 8/11​

Answers

Answer:

D

Step-by-step explanation:

4+4=8 probability of success

4+4+3=11 total senario

therefore 8/11 is your probability of a success

A box of chocolates contains four milk chocolates, four dark chocolates, and three white chocolates. The probability that it is milk or dark chocolate is 8/11.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

The total number of milk chocolate = 4

The total number of dark chocolate = 4

The total number of white chocolate = 3

The total number of milk or dark chocolate = 8

Total number of chocolate a box contains = 11

The probability that it is a milk or dark chocolate = 8/11

Learn more about probability here;

https://brainly.com/question/11234923

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What is the measure of 1?
Please help

Answers

The answer is 92 as the total if you add all the angles should equal 360
So, 360-(62+92+114)=1
360-268=1
Therefore,
1=92

Which of the following are adjacent angles?

Answers

Answer:

The first option

Step-by-step explanation:

Adjacent angles are just two angles next to each other

Adjacent angles are two angles that have a common vertex and a common side but do not overlap. So if I am correct in the photo given it would be C- angle BAD and angle DAE are adjacent.

At the beginning of the year, Blake had $35 in savings and
saved an additional $16 each week thereafter. Zoe started
the year with $80 and saved $13 every week. Let B
represent the amount of money Blake has saved t weeks
after the beginning of the year and let Z represent the
amount of money Zoe has saved t weeks after the
beginning of the year. Write an equation for each
situation, in terms oft, and determine the number of
weeks after the beginning of the year until Blake and Zoe
have the same amount of money saved.

Answers

Answer:

B=35+16t

Z=80+13t

15 weeks

Step-by-step explanation:

Let's start by writing our equations

B=35+16t

Z=80+13t

To figure out when they have the same amount we can set the equations equal to each other and solve for t

so we have

35+16t=80+13t

Subtract 13t and 35 from both sides to get

3t=45

Divide by 3 to get t=15

Find the slope of the line that passes
through the points (-6, -8) and (-6, 12).

Answers

Answer:

there isn't a slope, because this line isn't even a function, because it is a vertical line... so it doesn't pass the vertical line test...

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

the equation for the slope of the line is (y2-y1)/(x2-x1)

here are the given points: (-6,-8) and (-6,12)

label the points:

x1=-6

y1=-8

x2=-6

y2=12

now substitute into the equation (m is slope)

m=(12--8)/(-6--6)

m=(12+8)/(-6+6)

m=20/0

m=undefined

the slope is undefined because you cannot divide by 0

Hope this helps!

Find the size of the angle using Sohcahtoa or Pythagoras.

Answers

Answer:

x ≈ 38.7°

Step-by-step explanation:

Using the sine ratio in the right triangle

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{5}{8}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{5}{8}[/tex] ) ≈ 38.7° ( to 1 dec. place )

100 points please answer I need to bring my grade up


reasons why meals in space is more complicated than preparing meals on earth.

Answers

Answer:

  preparing food in space is complicated for many reasons some are microgravity, some foods are not perfected and some foods do not meet the requirements of space food. astronauts can't sprinkle salt and pepper on their food in space. They just float away because of microgravity.  

 

The bubbles of carbon dioxide in carbonated beverages aren't  floatable in a weightless environment, so they remain randomly distributed throughout the fluid, even after drinking  

Step-by-step explanation:

write 0.87878787.... as a fraction

Answers

Step-by-step explanation:

To write 0.87878787 as a fraction you have to write 0.87878787 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.87878787 = 0.87878787/1 = 8.7878787/10 = 87.878787/100 = 878.78787/1000 = 8787.8787/10000 = 87878.787/100000 = 878787.87/1000000 = 8787878.7/10000000 = 87878787/100000000

And finally we have:

0.87878787 as a fraction equals 87878787/100000000

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HOPE IT HELPS YOU

Two sides of a triangle measure 3 feet and 6 feet. Which of the following could not represent the length of the third side?
A) 7ft
B) 4ft
C) 9ft
D) 8ft
E) 3ft

Answers

I think it’s either C or E

What is 1.78 to a percent?

Answers

Answer:

178%

Step-by-step explanation:

move the decimal two places foward

178%! :) glad to help

I need help please help me lol don’t mind my musty computer screen

Answers

Answer:

Is this on IReady? It seems like it to be honest, also solve whats ink the parenthesis first, its PEMDAS basically i hope this helps

Step-by-step explanation:

-7(x+5) =21
apply the distributive property and simplify

Answers

Answer:

x=−8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−7(x+5)=21

(−7)(x)+(−7)(5)=21(Distribute)

−7x+−35=21

−7x−35=21

Step 2: Add 35 to both sides.

−7x−35+35=21+35

−7x=56

Step 3: Divide both sides by -7.

−7x/−7 = 56/−7

x=−8

Answer:-

Distributed: -7x+(-35)=21    Simplified: x=-8

Step-by-step explanation:-

Distributed:

-7(x+5)=21

(x*(-7))+(5*(-7))=21

-7x+(-35)=21

Simplified:

-7x-35=21

-7x=21+35

-7x=56

x=-8

Factorise x squared-x

Answers

Answer:

x^2 - x

=

x(x-1)

Step-by-step explanation:

solve for k
4k=10+2k​

Answers

k=5

Explanation: you have to rearrange the terms to make the problem look easier to solve then you have you subtract 2 from both sides of the equation then once you get that you have to simplify your answer (combine like terms) then after you divide both sides by 2 and then you should get your answer which is 5 here is a picture of the steps if you don't get it Hope this helps!

I really need help again :( !
Find the slope and the y -intercept of the line shown .
You can find the slope of a line by comparing any two of each points the vertical change is the difference between the two y-values , and the horizontal change is the difference between the two x - values .
Please help :( ..

Answers

y-intercept = -4 and slop is 2/1 (up 2 and right 1)
hope this helps :)

How many solutions does this system of equations have? Explain how you know

Answers

Answer:

Step-by-step explanation:

y+2/3 x=4

multiply by 3

3y+2x=12

or 2x=12-3y

so both represent the same equation of a line .

there are infinite points on the line.

infinite solutions.

The number of solution the system of equations have infinitely many solutions.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The system of equations are y+2/3 x=4--------(I) and 2x=12-3y --------(II).

Here, a₁=2/3, b₁=1 and c₁=-4

a₂=2, b₂=3 and c₂=-12

Now,

a₁/a₂=b₁/b₂=c₁/c₂

2/6 =1/3=-4/-12

1/3=1/3=1/3

Infinitely many solutions

Therefore, the number of solution the system of equations have infinitely many solutions.

To learn more about the linear system of an equations visit:

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The volume of a conical flask is V cubic centimeters. The height of the flask is the same as its radius. Which function can be used to find the radius of the flask given its volume, the table for f(x) or the graph of g(x)? Explain your answer. If needed, use the graphing tool to arrive at your conclusion.

Answers

Answer:

Table for [tex]f(x)[/tex].

Step-by-step explanation:

The table offers a greater accuracy in comparison with graph, since any measure in the latter is subject to a margin of error associated with limitations of human sight, whereas any value can be either used directly from table, or estimated by linear interpolation on the assumption that curve is smooth, guaranteeing lower margins of error.

Answer:

Use an equation to determine whether f(x) or g(x) is the correct model. Create an equation for the radius of the flask in terms of its volume.

Because the height is the same as the radius, write this formula for the volume of the flask:

V= [tex]\frac{1}{3}[/tex][tex]\pi r^{3}[/tex]

Rewrite the formula, solving for r:

[tex]\frac{3V}{\pi } =r^{3}[/tex]

[tex]\sqrt[3]{\frac{3V}{\pi } } =r[/tex]

Now, graph the function and try to identify the values that are in the table.

The graph of the function does match the table of values. So, the table for f(x) can be used to find the radius of the flask. Notice that the graph for g(x) doesn’t match the graph of the formula, so exclude it as the answer.

Step-by-step explanation:

This is the sample answer for edmentum/plato so you should change it a bit.

Use the equation r =2.1x^2 -14.3x +35, where x is the number of years after 2000, to determine the revenue from the sales of U.S. Recorded albums in the years 2000, 2001, 2002, 2003, 2005, 2010 and 2018. How would you describe the trend in the revenue from albums? To what do you attribute this?

Answers

Answer:

Step-by-step explanation:

Given that:

[tex]r = 2.1x^2 - 14.3x + 35[/tex]

For year 2000; x = 0

So; [tex]r (0) = 2.1(0)^2 - 14.3(0) + 35[/tex]

[tex]r (0) = 35[/tex]

For year 2001; x = 1

[tex]r (1) = 2.1(1)^2 - 14.3(1) + 35[/tex]

[tex]r (1) =22.8[/tex]

For year 2002; x = 2

[tex]r (2) = 2.1(2)^2 - 14.3(2) + 35[/tex]

[tex]r (2) = 14.8[/tex]

For year 2003; x = 3

[tex]r (3) = 2.1(3)^2 - 14.3(3) + 35[/tex]

[tex]r (3) = 11[/tex]

For year 2005; x = 5

[tex]r (5) = 2.1(5)^2 - 14.3(5) + 35[/tex]

r(5) = 16

For year 2010; x = 10

[tex]r (10) = 2.1(10)^2 - 14.3(10) + 35[/tex]

[tex]r(10) = 102[/tex]

For year 2018; x =18

[tex]r(18) = 2.1(18)^2 - 14.3 (18) + 35[/tex]

[tex]r(18) = 458[/tex]

Thus, the table can be presented as seen below.

Year      2000     2001     2002     2003     2005     2010     2018

x               0             1             2            3           5            10         18

r(x)          35          22.8        14.8        11            16         102      458

SO, we will notice that the revenue for the albums starts decreasing and when it reaches the minimum, it started increasing with increasing x.

The attribute behind this trend is because the revenue function r(x) typically implies that it is a quadratic function.

4a -3 = 2a +7
what's a?​

Answers

Answer:

a =5

Step-by-step explanation:

4a -3 = 2a +7

Subtract 2a from each side

4a-2a -3 = 2a-2a +7

2a-3 =7

Add 3 to each side

2a-3+3 = 7+3

2a=10

Divide each side by 2

2a/2 = 10/2

a =5

Answer:

a=5

Step-by-step explanation:

4a-3+3=2a+7+3

4a=2a+10

4a-2a=2a+10-2a

2a=10

a=5

Since the cost of cheese went up, the cost of small pizza went from $5.45 to $6.50. calculate the percent increase.

I will give Brainliest is, but I also will report you if you don't give a reasonable answer.

Answers

Around 19% increase.

Answer:

19.3%

Step-by-step explanation:

6.50-5.45 = 1.05

1.05/5.45 = 0.192605505

* 100 = 19.27% = 19.3% increase

Find the slope of the line that passes
through the points in the table. (First person to answer will get brainiest)

Answers

Answer:

-1/3 or -2/6

Step-by-step explanation:

First, you pick two points, I did (-5,10) and (1,8). Then, because slope is y(2)-y(1)/ x(2)-x(1), the equation would be 8-10/1-(-5) which equals -2/6 which simplifies into -1/3.

(hope this helps!)

Use the slide splitter theorem to solve for x in the triangle below.

Answers

Answer:

I THINK THE ANSWER IN X=3

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

by side splitter theorem: x : 66 = 2 : 12

x / 66 = 2 / 12

x = 2/12 * 66 = 11

Solve the system of equations by substitution.y=3x-10,3x+2y=16

Answers

Answer: Point Form: (4,2)

Equation Form: x=4,y=2

Step-by-step explanation:

On Monday Mason ran k kilometers on Tuesday he ran one third of the distance he ran on Monday what is a expression to represent the distance mason ran on both days

Answers

Answer:

4/3 k Km

Step-by-step explanation:

We are given that

On Monday

Mason ran distance =k Km

On Tuesday

Mason ran distance=[tex]\frac{1}{3} k Km[/tex]

We have to find the expression which represents the distance ran by Mason on both days.

Total distance ran by Mason on both days

=[tex]k+\frac{1}{3}k[/tex]

[tex]=\frac{3k+k}{3}[/tex]

[tex]=\frac{4}{3}k[/tex]

Hence, total distance ran by Mason on both days=4/3 k Km

Look at this triangle
B
11 cm
4 cm
A4
C
Work out length AC.pythagoras

Answers

Answer:

11.7 cm

Step-by-step explanation:

Using Pythagoras Theorem

AC² = AB² + BC²

AB = 4 cm

BC = 11 cm

AC² = 4² + 11²

AC = √4² + 11²

AC =✓137

AC = 11.704699911 cm

Approximately = 11.7 cm

Length AC = 11.7cm

solve the equation

4c = 3

c=

Answers

Answer:

c = 3/4, hope this helps

Step-by-step explanation:

4c/4 = 3/4

c = 3/4

If there are 12 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Answers

Answer:

6:30

1:5

4:20

3:15

2:10

Step-by-step explanation:

im pretty sure these are correct

The points (3, 9) and (–3, –9) are plotted on the coordinate plane using the equation y = a • x. What is the value of a?

Answers

Answer:

multiply

Step-by-step explanation:

hi.
i like you
yuejrh​

Answers

Answer:

Huh

Step-by-step explanation:

Which equation can be used to find the value of x?​

Answers

English isn’t my first language so i have no clue what “sin” “tan” means
But to find x
You simply need to do this
180°-90°-41°=41°
Meaning the edges are the same it also means x=5.24
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