SOLUTION: I just dont get it 9m +n=62 and m-5n=12 what is the solution of the system?

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Question 473155: I just dont get it 9m +n=62 and m-5n=12 what is the solution of the system?
Found 2 solutions by Alan3354, ewatrrr:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
9m +n=62 and m-5n=12 what is the solution of the system?
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m-5n=12 --> m = 5n + 12
Sub for m in the 1st eqn
9m +n=62
9(5n+12) + n = 62
45n+108 + n = 62
46n = - 46
n = -1
-------
m = 5n + 12
m = 7
That's one way to do it.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

solving this system by substitution

9m +n=62 OR n = 62-9m

 m-5n=12

 m -5(62-9m) = 12

       46m = 322

         m = 7  and n = -1    (n=62-9*7)

Solution for this system is the ordered pair(7,-1)



CHECKING our Answer***

 9*7 +(-1) = 62

  7 - 5*(-1) = 12