SOLUTION: what is the solution of the following system of equations? y=x+4 y=-2x+1

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Question 164414: what is the solution of the following system of equations?
y=x+4
y=-2x+1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since they both equal y, set them equal to each other.
x%2B4=-2x%2B1
3x%2B4=1
3x=-3
x=-1
From eq.1,
y=x%2B4
y=-1%2B4
y=3
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(-1,3) is the solution.
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Check the answer by graphing both lines and finding the intersection.