SOLUTION: find the value for m and b in the following system so that the solution to the sysytem is (-3, 4) 5x+7y =b and mx+y = 22 thank you for the help

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Question 91417: find the value for m and b in the following system so that the solution to the sysytem is (-3, 4)
5x+7y =b
and
mx+y = 22
thank you for the help
Answer by uma(370) About Me  (Show Source):
You can put this solution on YOUR website!
5x+7y =b
mx+y = 22
Given that (-3,4) is a solution to the above system
Plugging in x = -3 and y = 4 in the first equation,
5(-3)+7(4) = b
==> -15+28 = b
==> 13 = b
So b = 13
Now m(-3) + 4 = 22
==> -3m + 4 = 22
==> -3m = 22-4
==> -3m = 18
==> m = 18/-3
==> m = -6
Good Luck!!!