Answer:
m= -23.8, n= 17
Explanation:
-5m-7n+3n-4m+2=2m-3mn-5
taking like terms together,
-5m-4m-7n+3n+2=2m-3mn-5
-9m-2m-4n+2+5=-3mn
-11m-4n+7=-3mn
dividing throughout by m
-11-4n/m+7/m=-3n
-11-4n/m+3n+7/m
-4n/m+3n=-11-7/m
cross multiplying...
-4n+3n = -11-7
----------- --------
m m
both m gets cancelled...
-n=-17
therefore, n= 17
substituting n=17 in either one of the equations,
-5m-7n=0
-5m-7(17) =0
-5m-119=0
-5m=119
m=119/-5
m= -23.8
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Verified answer
Answer:
m= -23.8, n= 17
Explanation:
-5m-7n+3n-4m+2=2m-3mn-5
taking like terms together,
-5m-4m-7n+3n+2=2m-3mn-5
-9m-2m-4n+2+5=-3mn
-11m-4n+7=-3mn
dividing throughout by m
-11-4n/m+7/m=-3n
-11-4n/m+3n+7/m
-4n/m+3n=-11-7/m
cross multiplying...
-4n+3n = -11-7
----------- --------
m m
both m gets cancelled...
-n=-17
therefore, n= 17
substituting n=17 in either one of the equations,
-5m-7n=0
-5m-7(17) =0
-5m-119=0
-5m=119
m=119/-5
m= -23.8