5m+2n=3 ; 3m-4n=7 solve the simultaneous equations
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Step-by-step explanation:
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Answer:
m = 1
n = -1
Step-by-step explanation:
2 x (5m + 2n = 3) - [for easier subtraction]
3m - 4n = 7
10m + 4n = 6
3m - 4n = 7
[Add both equations]
[+4n and -4n get cancelled]
10m + 3m = 6 + 7
13m = 13
m = 13/13
m = 1
[Take one of the equations and substitute m, then solve it]
5m + 2n = 3
5(1) + 2n = 3
5 + 2n = 3
2n = 3 - 5
2n = -2
n = -2/2
n = -1
[Verify your answer by substituting the variables and solving the second equation]
3m - 4n = 7
3(1) - 4(-1) = 7
3 - (-4) = 7
3 + 4 = 7
7 = 7
Hope it helps!
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