Question

6x -3y = 42
6x + 8y = -24

Answer 1

Here’s the answer of above question in step wise solutions

Answer 2

x = 4

y = -6

Explanation:

When we take this equation:

6x -3y = 42

We can rearrange it to make sure only the x is on one side

6x = 42 + 3y

x = (42+3y)/6

We can now plug in what we got for x into our other equation to get y:

6x + 8y = -24

6(x) + 8y = -24

6((42+3y)/6) + 8y = -24

6((42+3y)/6) = -24 - 8y

(42+3y)/6 = (-24/6) - 8/6 y

7 + 1/2 y = -4 - 4/3y

1/2 y + 4/3 y = -4-7

11/6 y = -11

y = -6

Plug that back in to another one to solve for x:

6x -3y = 42

6x = 42 + 3(-6)

6x = 24

x = 4