what is the solution of the system? 5x-y=-7 3x-y=-2

Subtracting the second equation from the first equation eliminates the y variable:

(5x - y) - (3x - y) = -7 - (-2)
2x = -5
x = -5/2

Substituting this value of x into one of the equations, say 5x - y = -7, gives:

5(-5/2) - y = -7
-25/2 - y = -7
y = 11/2

Therefore, the solution of the system is (x, y) = (-5/2, 11/2).