{3x+4y=18

{5x+12y=-6

Solution

Do: 5*eqn1-3*eqn2

20y-36y=90+18

-16y=108

y=-6.75

substitute back into eqn 1: 3x+4(-6.75)=18

3x-27=18, 3x=45, x=15

Therefore, x=15, y=-6.75

This can be confirmed via graphing:

graph new.PNG

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