<PRE><B>Question 198880</B>
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</PRE>