You are trying to solve system of equations. 

One of the equations is quadratic (non-linear) so the system can not be solved this way.

Try solving first for 'y':

From y - x = 2 we have y = x + 2.

Plug y = x + 2 into y=x^2+5x-3 and you will have:

x + 2=x^2+5x-3

Now, type 'x + 2=x^2+5x-3' into 'Alegbrator' and click on 'Solve' to solve the quadratic equation for x:

click here  to see the step by step solution for x

The solutions are:

x1 = 1, y1 = 1 + 2 = 3

x2 = -5, y2 = -5 + 1 = -4