Answer
(-1, 4)
Work Step by Step
1. Multiply the second equation by 2:
2(-x + 4y) = 2(17)
-2x + 8y = 34
2. Add the first equation to the new second equation:
2x - y = -6
-2x + 8y = 34
7y = 28
y = 4
3. Let y = 4 in the first equation to solve for x:
2x - 4 = -6
2x = -2
x = -1
4. Check the solution (-1, 4) in the second equation:
-(-1) + 4(4) = 17
1 + 16 = 17
17 = 17; True
The solution is (-1, 4)
