2x-y=17 x-y=10 elimination method

Let Equation 1 be 2x - y = 17 and Equation 2 be x - y = 10. To solve for the equation through elimination, subtract equation 2 from equation 1. This yields an answer of x - 0 = 7. Hence, x = 7. Furthermore, substitute the value of x to any of the equation to solve for y.

2 (7) - y = 17; y = - 3

Therefore, the solution to this system is (7, - 3).