use substitution method to solve system
{-x-8y=29}
{-2x+4y=-22}
To use the substitution method, we need to solve one of the equations for one variable and then substitute it into the other equation.
From the first equation, we can solve for x:
-x - 8y = 29
x = -8y - 29
Now we substitute x into the second equation:
-2(-8y - 29) + 4y = -22
16y + 58 + 4y = -22
20y + 58 = -22
20y = -80
y = -4
Now substitute y back into the first equation to solve for x:
x = -8(-4) - 29
x = 32 - 29
x = 3
Therefore, the solution to the system of equations is x = 3 and y = -4.