SOLUTION: Find the y coordinate of the point of intersection of the graphs of 2x+3y=13 and 2(2x+1)=y. Thanks for your help.

Algebra ->  Coordinate-system -> SOLUTION: Find the y coordinate of the point of intersection of the graphs of 2x+3y=13 and 2(2x+1)=y. Thanks for your help.      Log On


   

Question 945306: Find the y coordinate of the point of intersection of the graphs of 2x+3y=13 and 2(2x+1)=y. Thanks for your help.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Substitute the second equation into the first.
2x%2B3%282%282x%2B1%29%29=13
2x%2B12x%2B6=13
14x=7
x=1%2F2
Then,
y=2%282%281%2F2%29%2B1%29
y=2%281%2B1%29
y=2%282%29
y=4