SOLUTION: solve by the substitution method. 6m + n = 28 m - 3n = 11 The solution is ___? (type an ordered pair) Thank you =)

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Question 220924: solve by the substitution method.
6m + n = 28
m - 3n = 11
The solution is ___? (type an ordered pair)

Thank you =)
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
solve by the substitution method.
6m + n = 28
m - 3n = 11

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++6%5Cn+%2B+1%5Cm+=+28%2C%0D%0A++++1%5Cn+%2B+-3%5Cm+=+11+%29%0D%0A++We'll use substitution. After moving 1*m to the right, we get:
6%2An+=+28+-+1%2Am, or n+=+28%2F6+-+1%2Am%2F6. Substitute that
into another equation:
1%2A%2828%2F6+-+1%2Am%2F6%29+%2B+-3%5Cm+=+11 and simplify: So, we know that m=-2. Since n+=+28%2F6+-+1%2Am%2F6, n=5.

Answer: system%28+n=5%2C+m=-2+%29.



SOLUTION: The order pair (m, n) is (-2, 5 )

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J