SOLUTION: . Solve by substitution or elimination method: 7x - 5y = 14 -4x + y = 27

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Question 164198: . Solve by substitution or elimination method:
7x - 5y = 14
-4x + y = 27

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.7x+-+5y+=+14
2.-4x+%2B+y+=+27
Multiply eq. 2 by 5 and add to eq. 1,
%287x-5y%29%2B5%28-4x%2By%29=14%2B5%2827%29
%287x-5y%29%2B%28-20x%2B5y%29=149
-13x=149
highlight%28x=-149%2F13%29
From eq. 2,
2.-4x+%2B+y+=+27
-4%28-149%2F13%29+%2B+y+=+27
596%2F13%2B+y+=+27
y=27-596%2F13
y=351%2F13-596%2F13
highlight%28y=-245%2F13%29