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First, we need to substitute y with 5x in the second equation:
8x - 3(5x) = 35
8x - 15x = 35
-7x = 35
x = -5
Now, substitute x = -5 back into the first equation to solve for y:
y = 5(-5)
y = -25
Therefore, the solution to the system of equations is x = -5 and y = -25.