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To solve the system of equations, we substitute the value of y from the first equation into the second equation:
y = 5x - 7
-3x - 2(5x - 7) = -12
-3x - 10x + 14 = -12
-13x + 14 = -12
-13x = -26
x = 2
Now that we have found the value of x, we can substitute it back into the first equation to find y:
y = 5(2) - 7
y = 10 - 7
y = 3
Therefore, the solution to the system of equations is (2,3).