SOLUTION: Find the solution to each system by the substitution method. Check your answers 4x+3y=9 3y+6=x

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Question 170959: Find the solution to each system by the substitution method. Check your answers

4x+3y=9
3y+6=x
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
4x%2B3y=9, EQN 1 --->y=%28-4x%2B9%29%2F3=%28-4%2F3%29x%2B3, for graph purposes
3y%2B6=x, EQN 2 ---> y=%28x-6%29%2F3=%281%2F3%29x-2, for graph puposes
Subst EQN 1 in EQN 2:
4%283y%2B6%29%2B3y=9
12y%2B24%2B3y=9
15y=9-24=-15 -------> cross%2815%29y%2Fcross%2815%29=cross%28-15%291%2Fcross%2815%29
highlight%28y=-1%29, subst. in EQn 2:
3%28-1%29%2B6=x
highlight%28x=3%29
.
Let' see in the graph:
----> see line intersect at points (3,-1); EQN 1>>>RED Line; EQN 2>>>> GREEN Line
.
Thank you,
Jojo