Answer:
x = 5; y = 4
Explanation:
We can solve the system by substitution using the following steps:
Step 1: Isolate y in -2x - y = -14:
(-2x - y = -14) + 2x
(-y = 2x - 14) / -1
y = -2x + 14
Solving for x:
Step 2: Substitute -2x + 14 for y in 3x - y = 11 to solve for y:
3x - (-2x + 14) = 11
3x + 2x - 14 = 11
(5x - 14 = 11) + 14
(5x = 25) / 5
x = 5
Thus, x = 5
Solving for y:
Step 3: Plug in 5 for x in -2x - y = -14 to solve for y:
-2(5) - y = -14
(-10 - y = -14) + 10
(-y = -4) / -1
y = 4
Thus, y = 4