SOLUTION: Solve the following system of equation by subtitution or elemination (x+8)/7=(3-5y)/4 3x/5=(27-9y)/10

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Question 878473: Solve the following system of equation by subtitution or elemination
(x+8)/7=(3-5y)/4
3x/5=(27-9y)/10
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B8%29%2F7=%283-5y%29%2F4
Multiply both sides by 7%2A4
4%28x%2B8%29=7%283-5y%29
4x%2B32=21-35y
1.4x%2B35y=-11
.
.
.
%283x%29%2F5=%2827-9y%29%2F10
Multiply both sides by 10
6x=27-9y
6x%2B9y=27
2.2x%2B3y=9
Multiply eq. 2 by (2) and subtract from eq. 1,
4x%2B35y-4x-6y=-11-18
29y=-29
highlight%28y=-1%29
Then,
2x%2B3%28-1%29=9
2x=12
highlight%28x=6%29