Question

Solve this system of linear equations. Separatethe x- and y-values with a comma.13x = -21 - 6y- 8x = 36 + 6yEnter the correct answer.DONE?

Answer 1

Solution:

Let:

`\begin{gathered} 3x=-21-6y\text{ (Equation 1)} \\ -8x=36+6y\text{ (Equation 2)} \end{gathered}`

To get the value of x, we add the Equation 1 and 2.

13x = -21 - 6y

+ - 8x = 36 + 6y

We will get:

5x=15

Calculate:

x= 3

Since x= 3, we plug in what we know:

13x = -21 - 6y

13(3) = -21 - 6y

39 = -21 - 6y

Simplify and rearrange:

-6y = 39 + 21

-6y= 60

Calculate:

y= -10

Therefore, the values are x= 3, y= -10 or (3,-10).