SOLUTION: What point satisfies both equations? Show your work. y=x+1 and -6x+3y=-12

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Question 870521: What point satisfies both equations? Show your work.
y=x+1 and -6x+3y=-12
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the equation -6x%2B3y=-12 and plug in y=x%2B1


-6x%2B3y=-12


-6x%2B3%28x%2B1%29=-12 Plug in y=x%2B1. Basically replace EVERY y with x%2B1. Now we solve for x.


-6x%2B3x%2B3=-12


-3x%2B3=-12


-3x=-12-3


-3x=-15


x=-15%2F%28-3%29


x=5


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Now that we know x=5, we can use this to find y.


y=x%2B1


y=5%2B1 Plug in x=5 (ie replace x with 5)


y=6


So the answer is the point (5,6) since we found x+=+5 and y+=+6