SOLUTION: solve system using substution method 4x+y=5 5y=x+y solution (?,?)

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Question 207839: solve system using substution method
4x+y=5
5y=x+y
solution (?,?)
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Did you copy this one correctly? Should the second equation should be 5=x+y? Either one is somewhat ugly, so I'll go with your problem as stated.

In the second equation, subtract y from each side.
5y=x+y
4y=x

Substitute this into the first equation for x:
4x+y=5
4(4y)+ y = 5
16y + y=5
17y=5
y=5/17

To solve for x, go back to the equation x=4y
x=4y
x=4(5/17)
x=20/17

The solution is (20/17,5/17)

Check in the OTHER equation
4x+y =5
4%2820%2F17%29%2B%285%2F17%29+=+5
80%2F17+%2B5%2F17=5
85%2F17=5
It checks!!

R^2