SOLUTION: find values of m and b in the following system so that the solution to the system is (-3,4) 5x+7y=b and mx+y=22

Question 47880: find values of m and b in the following system so that the solution to the system is (-3,4)
5x+7y=b and mx+y=22
Answer by pizza(14) (Show Source): You can put this solution on YOUR website!
Well, intuitively, one is supposed to see that the question is asking you to find the equation of two lines such that they intersect at (-3,4). This means we can actually treat each equation separately, and find b such that the line goes through (-3,4) and then find m similarly. If you have studied the equation of lines, then you should be on your way now. Otherwise...

First, 5x + 7y = b
Substitute x = -3, y = 4 into the equation
to get 5(-3) + 7(4) = 13 = b
So b=13.

Secondly, mx+y =22
Substitute x and y as before,
to get m(-3) + 4 = 22
which becomes m = 18/(-3) = -6
So m = -6
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