Question 85521
2/3x + 1/2y = 9
1/3x - 1/9y = 4
Match X's for Simplicity~
2/3x + 1/2y = 9
-2(1/3x - 1/9y = 4)
~
2/3x + 9/18y = 9
-2/3x + 4/18y = -8
Sum Both~
13/18y = 1
y = 18/13
Plug~
2/3x + 1/2y = 9
2/3x + 1/2(18/13) = 9
2/3x + 9/13 = 117/13
2/3x = 108/13
x = 108/13(3/2)
x = 162/13
(162/13,18/13)
{{{graph(500,200,-1,14,-2,2,18 - 4x/3,-36 + 3x)}}}