Solve the following system:
{4 x+3 y = -8
y-8 x = -12
In the second equation, look to solve for y:
{4 x+3 y = -8
y-8 x = -12
Add 8 x to both sides:
{4 x+3 y = -8
y = 8 x-12
Substitute y = 8 x-12 into the first equation:
{4 x+3 (8 x-12) = -8
y = 8 x-12
4 x+3 (8 x-12) = (24 x-36)+4 x = 28 x-36:
{28 x-36 = -8
y = 8 x-12
In the first equation, look to solve for x:
{28 x-36 = -8
y = 8 x-12
Add 36 to both sides:
{28 x = 28
y = 8 x-12
Divide both sides by 28:
{x = 1
y = 8 x-12
Substitute x = 1 into the second equation:
Answer: |x = 1 and y=-4