SOLUTION: I am stuck on this problem. Please help? Find values for m and b so that the solution can be (-3,4). 5x+7y=b mx+y=22

Question 93884: I am stuck on this problem. Please help?
Find values for m and b so that the solution can be (-3,4).
5x+7y=b
mx+y=22
Found 2 solutions by praseenakos@yahoo.com, Edwin McCravy:
Answer by praseenakos@yahoo.com(507) (Show Source): You can put this solution on YOUR website!
Question:
Find values for m and b so that the solution can be (-3,4).
5x+7y=b
mx+y=22
Answer:

You have two equations given...

5x + 7y = b
mx + y = 22
Solution of this system of equation is given, that is (-3,4).
That means when you substitute x = -3 and y = 4 in these equations, these values will satisfy the given equations.

==>
5* (-3) + 7 * 4 = b -----------------(1)

m *(-3) + 4 = 22 -------------------(2)
(1) ==> -15 + 28 = b

==> 13 = b
(2) ==> -3m + 4 = 22

==> -3m = 22 - 4

==> -3m = 18

==> m =

==> m = -6

So the values are, and

Hope you found the explanation useful.

Regards.

Praseena.

Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

I am stuck on this problem. Please help? Find values for m and b so that the solution can be (-3,4). 5x + 7y = b mx + y = 22 Plug in x = -3 and y = 4 in each equation and solve the resulting equations for m and b. 5x + 7y = b 5(-3) + 7(4) = b -15 + 28 = b 13 = b mx + y = 22 m(-3) + (4) = 22 -3m + 4 = 22 -3m = 18 m = -6 Edwin

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