Systems of linear equations unit tests solve the system is equation or x - 8y = - 36 - 6X + y = 32
To solve the system of equations:
1) x - 8y = -36
2) -6x + y = 32
We can solve this system of equations by substitution or elimination method.
Let's use the elimination method here:
First, we can multiply the second equation by 8 to make the coefficients of y in both equations equal:
1) x - 8y = -36
2) -48x + 8y = 256
Now, add both equations:
x - 8y + (-48x + 8y) = -36 + 256
-x = 220
x = -220
Now, substitute x = -220 into either of the original equations to solve for y. Let's use equation 1:
-220 - 8y = -36
-8y = 184
y = -23
Therefore, the solution to the system of equations is x = -220 and y = -23.