Answer:
x = 13; y = 7
Explanation:
Method to solve: Elimination:
- We can start by multiplying the first equation by 2.
This will allow us to eliminate x since -2x + 2x = 0:
2(-x + 3y = 8)
-2x + 6y = 16
Solving for y:
Now, we can eliminate x and solve for y by adding -2x + 6y = 16 and 2x - 2y = 12:
-2x + 6y = 16
+
2x - 2y = 12
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(-2x + 2x) + (6y - 2y) = (16 + 12)
(4y = 28) / 4
y = 7
Thus, y = 7.
Solving for x:
Now, we can solve for x by plugging in 7 for y in -x + 3y = 8:
-x + 3(7) = 8
(-x + 21 = 8) - 21
(-x = -13) / -1
x = 13
Thus, x = 13.