{2x+y=43x−y=-14{2𝑥+𝑦=43𝑥-𝑦=-14Which is the solution to the system of equations shown? (2, 0) (0, -2) (-2, 8) (-2, 0)
Question
Which is the solution to the system of equations shown?
- (2, 0)
- (0, -2)
- (-2, 8)
- (-2, 0)
Solution
The solution to the system of equations can be found by either substitution or elimination method. Here, I will use the elimination method.
The system of equations is:
2x + y = 4 3x - y = -14
By adding these two equations, we get:
2x + 3x = 4 - 14 5x = -10 x = -10 / 5 x = -2
Substitute x = -2 into the first equation:
2(-2) + y = 4 -4 + y = 4 y = 4 + 4 y = 8
So, the solution to the system of equations is (-2, 8).
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