SOLUTION: Can someone help me on this problem? I need to find 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

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Can someone help me on this problem? I need to find 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      Log On


   



Question 58033This question is from textbook Beginning Algebra
: Can someone help me on this problem?
I need to find 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
Thanks so much,
Sher
This question is from textbook Beginning Algebra

Answer by rcmcc(152) About Me  (Show Source):
You can put this solution on YOUR website!
Hello Sher,
5x + 7y = b
mx + y = 22
to solve for m and b, substitute the point for x and y, as x=-3 and y=4
5(-3)+7(4)=b
13=b
so b is 13
m(-3)+4=22
subtract 4 from each side
m(-3)=18
divide out -3 to isolate x
m=-6
so b=13 and m=-6