By elimination method:
To eliminate y, subtract the second equation from the first. The rule in subtraction of polynomials: change the sign of each term then proceed to addition rule of integers.
2x - y= 17
- x+y = -10
x = 7
Substitute 7 to x in any given equation to find y:
2x - y = 17
2(7) - y = 17
14 - y = 17
-y = 17 - 14
-y = 3
y = -3
x = 7; y= -3 is the solution to the system.
The point of intersection when you graph the linear equations is (7, -3)