SOLUTION: 2x+y=1 x=y+8

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Question 548805: 2x+y=1
x=y+8
Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2By=1 (1)
x=y%2B8 (2)

There are many ways to solve this. I will do substitution method as Equation (2) is already solved for a variable.
Substituing Equation (2) into Equation (1) we get:
2%28y%2B8%29%2By=1
2y%2B16%2By=1
16%2B3y=1
16%2B3y-16=1-16
3y=-15
3y%2F3=-15%2F3
y=5 (3)

Now we substitute (3) back into (2) to find x.
x=5%2B8
x=13
So we end up with the point (x,y)=(13,5) as a solution to our system of equations.