Question 944794
2x-3y=6
 x+2y=4
add these two equations and we get
3x - y = 10
y = 3x - 10
substitute for y in second equation
x + 2(3x - 10) = 4
x + 6x - 20 = 4
7x = 24
x = 24/7
substitute for x in first equation
2(24/7) -3y = 6
48/7 -3y = 6
48/7 -3y = 42/7
-3y = -6/7
y = 2/7
our answer is x = 24/7, y = 2/7