X-y=-10 2x+3y=15

To solve the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.

1. Solve the first equation for x: x = -10 + y

2. Substitute this value of x into the second equation: 2(-10 + y) + 3y = 15

3. Simplify and solve for y: -20 + 2y + 3y = 15 5y = 15 + 20 5y = 35 y = 7

4. Substitute the value of y back into the first equation to find x: x - 7 = -10 x = -10 + 7 x = -3

So the solution to the system of equations is x = -3 and y = 7.