SOLUTION: if 4x-3y=11 and -5x+2y=-12, then the solution (x,y) is?

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Question 198880: if 4x-3y=11 and -5x+2y=-12, then the solution (x,y) is?
Answer by pannalal(9) About Me  (Show Source):
You can put this solution on YOUR website!
Given Equations:
[1] 4x-3y=11
[2] -5x+2y=-12
4x - 3y = 11 ............(1)
-5x + 2y = -12 ..........(2)
Multiply Eq(1) by 2 and Eq(2) by -3:
8x - 6y = 22
15x - 6y = 36
Subtracting:
-7x = -14 ...............(3)
From Eq(3), we get:
x = 2 ...................(4)
On Substituting value of x in Eq(1), we get:
4*2 - 3y = 11
y = -1 ..................(5)
Summary:
x = 2
y = -1