SOLUTION: Solve the system of linear equations by the substitution method. 5x + 4y = 14 15x - 2y = 7

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Question 149777: Solve the system of linear equations by the substitution method.
5x + 4y = 14
15x - 2y = 7
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system of linear equations by the substitution method.
5x + 4y = 14
15x - 2y = 7
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-2y = 7-15x (from 2nd eqn)
4y = 30x-14
Sub into 1st eqn
5x + (30x-14) = 14
35x - 14 = 14
35x = 28
x = 28/35 = 4/5
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Sub into either, I'll use eqn 1
5*(4/5) + 4y = 14
4 + 4y = 14
4y = 10
y = 10/4 = 5/2