SOLUTION: Solve by the substitution method 6m+n=23 m-6n=10 the solution is

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Question 266560: Solve by the substitution method
6m+n=23
m-6n=10
the solution is
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
here is the original system:
(i) 6m+%2B+n+=+23
(ii) m+-+6n+=+10
since we must use substitution, we can solve (i) for n and get
(iii) n+=+-6m+%2B+23
substitute (iii) into (ii) to get
(iv) m+-+6%2A%28-6m+%2B+23%29+=+10
distribute and simplify to get
(v) m+%2B+36m++-+138+=+10
combine like terms to get
(vi) 37m+-+138+=+10
add 138 to get
(vii) 37m+=+148
divide by 37 to get
(viii) m+=+4
now,
n+=+-1
So, we get
(4,-1)