Mathematics
Find the solution to the system of linear equations using elimination.

### Question Description

I’m studying and need help with a Algebra question to help me learn.

{3x+4y=18

{5x+12y=-6

Solution

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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:

Prashant S (1995)
Rice University
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