21-07-2016
Mathematics

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1/3x+y=9, -2x+2y= -6... what is x and y, using the substitution method?

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texaschic101 texaschic101

21-07-2016

1/3x + y = 9
y = -1/3x + 9

-2x + 2y = -6
-2x + 2(-1/3x + 9) = -6
-2x - 2/3x + 18 = -6
-6/3x - 2/3x = -6 - 18
-8/3x = -24
x = -24 * -3/8
x = 9 <== here is y

-2x + 2y = -6
-2(9) + 2y = -6
-18 + 2y = -6
2y = -6 + 18
2y = 12
x = 12/2
x = 6 <=== here is x

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