SOLUTION: Find the two coordinates of the intersection of the following two lines: x+2y=5 and 2x+3y=2

Algebra ->  Coordinate-system -> SOLUTION: Find the two coordinates of the intersection of the following two lines: x+2y=5 and 2x+3y=2      Log On


   



Question 400406: Find the two coordinates of the intersection of the following two lines:
x+2y=5 and 2x+3y=2

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
From the 1st equation, x = 5 - 2y. Substitute for x into the 2nd equation:
2(5 - 2y) + 3y = 2
==> 10 - 4y + 3y = 2
==> 8 - y = 0
==> y = 8.
==> x = 5 - 2*8 = 5 - 16 = -11.