SOLUTION: Solve the following simultaneous equations using the elimination method. 7x - 11y = 1, and 4x + 5y = 12

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Question 158651: Solve the following simultaneous equations using the elimination method.
7x - 11y = 1, and 4x + 5y = 12
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following simultaneous equations using the elimination method.
system%287x+-+11y+=+1%2C+4x+%2B+5y+=+12%29




To eliminate y, multiply the first equation by 5 and

the second equation by 11



system%2835x+-+55y+=+5%2C+44x+%2B+55y+=+132%29



Add vertically term by term:



79x=137



Divide both sides by 79



x=137%2F79



system%287x+-+11y+=+1%2C+4x+%2B+5y+=+12%29



To eliminate x, multiply the first equation by -4 and

the second equation by 7



system%28-28x+%2B+44y+=+-4%2C+28x+%2B+35y+=+84%29



Add vertically term by term:



79y=80



Divide both sides by 79



y=80%2F79



Answer