Question 46404: Could you please help with this word problem?
I need help finding the values for m and b in the following system so that the solution to the system is (-3, 4).
5x + 7y = b
mx + y =22
-Nina
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! Since you have the solution to this system of equations, (-3, 4), you know that this point satisfies both equations. Therefore, you can substitute the x- and y-cordinates of the point into the two equations and solve for the missing attribute (b and m) of the equations. Does this make sense?
5x+7y = b Substitute x = -3 and y = 4 from the point (-3, 4), and solve for b.
5(-3)+7(4) = b
-15 + 28 =b
b = 13 Done!
mx+y = 22 Substitute x = -3 and y = 4 from the point (-3, 4), and solve for m.
m(-3)+4 = 22
-3m + 4 = 22 Subtract 4 from both sides.
-3m = 18 Divide both sides by -3
m = -6 Done!
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