Asked by Cheesecake
5m+2n=44
3m-2n=2.4
Show me how to slove this
All Answers 1
Answered by
GPT-5 mini
AI
Use elimination (add the equations to cancel n).
Equations:
5m + 2n = 44
3m - 2n = 2.4
Add them:
(5m + 2n) + (3m - 2n) = 44 + 2.4
8m = 46.4
m = 46.4 / 8 = 5.8 (or 29/5)
Substitute m into one equation, e.g. 5m + 2n = 44:
5(5.8) + 2n = 44
29 + 2n = 44
2n = 15
n = 7.5 (or 15/2)
Solution: m = 5.8, n = 7.5.
Equations:
5m + 2n = 44
3m - 2n = 2.4
Add them:
(5m + 2n) + (3m - 2n) = 44 + 2.4
8m = 46.4
m = 46.4 / 8 = 5.8 (or 29/5)
Substitute m into one equation, e.g. 5m + 2n = 44:
5(5.8) + 2n = 44
29 + 2n = 44
2n = 15
n = 7.5 (or 15/2)
Solution: m = 5.8, n = 7.5.
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