SOLUTION: How do I solve this system of equations: 4x+3y=10 5x-y=3 by using matrices and backsolving?

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Question 120165: How do I solve this system of equations: 4x+3y=10
5x-y=3
by using matrices and backsolving?
Answer by scott8148(5892) About Me  (Show Source):
You can put this solution on YOUR website!
easiest way is elimination __ multiply second equation by 3 and add to first

4x+3y=10
15x-3y=9
________ __ this ELIMINATES the y
19x=19

so x=1

4(1)+3y=10 __ 3y=6 __ y=2