SOLUTION: Find the measaures of two supplementary angles, <N and <M, if the measure of angle N is 5 less that 4 times the measure of angle M

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Question 212243: Find the measaures of two supplementary angles,
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
You have a linear system here:
1) N is 5 less that 4 times the measure of angle M
2) Supplementary mean that they add to 180
system%28+N+=+4M-5%2C+N%2BM=180+%29+
system%28+N+-4M+=+-5%2C+N%2BM=180+%29+
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5CN+%2B+-4%5CM+=+-5%2C%0D%0A++++1%5CN+%2B+1%5CM+=+180+%29%0D%0A++We'll use substitution. After moving -4*M to the right, we get:
1%2AN+=+-5+-+-4%2AM, or N+=+-5%2F1+-+-4%2AM%2F1. Substitute that
into another equation:
1%2A%28-5%2F1+-+-4%2AM%2F1%29+%2B+1%5CM+=+180 and simplify: So, we know that M=37. Since N+=+-5%2F1+-+-4%2AM%2F1, N=143.

Answer: system%28+N=143%2C+M=37+%29.