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To check if the solution (-2, 1) is a solution to the system of equations, substitute x = -2 and y = 1 into each equation.
For the system:
2x - y = -5
x + 2y = 10
Substitute x = -2 and y = 1:
2(-2) - 1 = -5
-4 - 1 = -5
-5 = -5
x + 2(1) = 10
-2 + 2 = 10
-2 + 2 = 10
Therefore, the system of equations 2x - y = -5 and x + 2y = 10 has the solution (-2, 1).