Solve simultaneously 2x-y=2, 3x+2y=17 to calculate values of x and y.

This problem can be solved through substitution. The first equation provided in the question should be rearranged to give y=2x-2. This equation for y can be directly substituted into the second equation. This would give, 3x+2(2x-2)=17 therefore eliminating the y term. By expanding this equation, we get 3x+4x-4=17 which simplifies further down to 7x=21. This gives a value of x=3. In order to calculate y, we can sub this value of x into any of the equations provided in the question. For example, substituting into the first equation gives 6-y=2. As a result, rearranging this gives a value of y=4.