LINEAR COMBONATION EXAMPLE
2X-4Y=13
4X-5Y=8

SOLUTION
1. MULTIPLY THE FIRST EQUATION BY -2 SO ONLY THE X COEFFICIENTS DIFFER IN SIGN
YOU GET
-4X+8Y=-26
4X-5Y=8
2.ADD THE EQUATIONS AND SOLVE FOR Y
YOU GET
y=-6
3. SUBSTITUTE THE VALUE OF Y INTO AN ORIGINAL EQUATION. SOLVE FOR X.
YOU GET
2X-4(-6)=13
SOLVE
X=-11/2
so the solution is (-11/2,-6)