SOLUTION: Solve the system by the elimination method 5x+3y=-7 7x-2y=11

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Question 310753: Solve the system by the elimination method
5x+3y=-7
7x-2y=11
Answer by checkley77(12844) About Me  (Show Source):
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5x+3y=-7 multiply by 2
7x-2y=11 multiply by 3 & add.
10x+6y=-14
21x-6y=33
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31x=19
x=19/31 ans.
5*19/31+3y=-7
95/31+3y=-7
3y=-7-95/31
3y=(-7*31-95)/31
3y=(-217-95)/31
3y=-312/31
y=(-312/31)/3
y=-312/31*1/3
y=-312/93
y=-104/31 ans.
Proof:
7*19/31-2*-104/31=11
133/31+208/31=11
(133+208)/31=11
341/31=11
11=11