SOLUTION: I am trying to help my son but he left the textbook at school. If you can walk me through one example I should be able to do the rest. Solve each system using substitution: 5x

Question 719414: I am trying to help my son but he left the textbook at school. If you can walk me through one example I should be able to do the rest.
Solve each system using substitution:
5x-6y=19
4x+3y=10
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
That system does not make substitution easy. I would solve it by a different method, but if those were the instructions, we'll have to do substitution.

The traditional way:
STEP 1
Solve one of the equations for one of the variables.
(If one of the variables had a coefficient of 1 or -1, that would be the variable I would solve for. In this case, I do not see what the best choice is).
--> --> --> -->

STEP 2
In the other equation, substitute the expression found for the variable.
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At this point, I would multiply both sides of the equal sign times 5 to get rid of denominators and I would get
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STEP 3
Substitute the value found for the one variable to find the other variable.
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It seems like it would have been a little easier to solve for in STEP 1.

A SMARTER WAY:
-->
Multiplying both sides of the equal sign times 2, we get

Substituting the expression found for we get
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Substituting for in one of those equations, we get
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