Solve this system of linear equations. Separate the x - and y - values with a comma. 8x + 2y = -42 4x + 7y=-3

The value of x is equal to - 6. The value of y is equal to 3.

8x + 2y = - 42

4x + 7y = - 3

In the first equation, subtract 8x from both sides.

2y = - 42 - 8x

Divide all terms by 2.

y = - 21 - 4x

Now that we have a value of y, we can plug it into the second equation to solve for x.

4x + 7 (-21 - 4x) = - 3

Distributive property.

4x - 147 - 28x = - 3

Combine like terms.

-24x - 147 = - 3

Add 147 to both sides.

-24x = 144

Divide both sides by - 24.

x = - 6

Now that we have a true value for x, we can plug it into either equation to solve for y.

8 (-6) + 2y = - 42

-48 + 2y = - 42

Add 48 to both sides.

2y = 6

Divide both sides by 2.

y = 3