Question 874987: Identify the solution(s) of the system of equations, if any.
6x + 4y = 8
y = 5 - 3x
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Start with the first equation and plug in y = 5 - 3x. Then solve for x.
6x + 4y = 8
6x + 4(5 - 3x) = 8
6x + 20 - 12x = 8
-6x + 20 = 8
-6x = 8 - 20
-6x = -12
x = -12/(-6)
x = 2
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Now that you know that x = 2, plug it into y = 5 - 3x to find y.
y = 5 - 3x
y = 5 - 3(2)
y = 5 - 6
y = -1
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Answer: x = 2, y = -1 giving the ordered pair (2, -1)
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