To solve this system of equations, we can use the method of substitution or elimination.
Let's use the elimination method:
1. Multiply the second equation by 8 to make the y coefficients the same:
-6x + y = 32
8(-6x + y) = 8(32)
-48x + 8y = 256
2. Add this new equation to the first equation:
4x - 8y = -36
-48x + 8y = 256
-------------------
-44x = 220
3. Divide by -44 to solve for x:
x = -220 / -44
x = 5
4. Substitute x back into either equation to solve for y. Let's use the second equation:
-6(5) + y = 32
-30 + y = 32
y = 32 + 30
y = 62
Therefore, the solution to the system of equations is (5, 62).