Question 414173: solve by the substitution method
6x+4y=-24
-3x+y=21
the solution is?
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! solve by the substitution method
6x + 4y = -24
-3x + y = 21------> y = 3x + 21 {added 3x to both sides}
6x + 4y = -24 {top equation}
6x + 4(3x + 21) = -24 {substituted 3x + 21, in for y, into top equation}
6x + 12x + 84 = -24 {used distributive property}
18x + 84 = -24 {combined like terms}
18x = -108 {subtracted 84 from both sides}
x = -6 {divided both sides by 18}
y = 3x + 21
y = 3(-6) + 21 {substituted -6, in for x, into y = 3x + 21}
y = -18 + 21 multiplied 3 by -6}
y = 3 {combined like terms}
x = -6 and y = 3
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