SOLUTION: 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 ->  Equations -> SOLUTION: 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 71886This question is from textbook
: 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 This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To solve this, plug in the solution (-3,4) into the system
5%28-3%29+%2B+7%284%29+=+bPlug in (-3,4) for the first equation
-15%2B28=b
b=13
m%28-3%29+%2B+%284%29+=+22Solve for m
-3m=18
m=-6
So the following system will give you a solution of (-3,4)
            5x + 7y = 13
           -6x + y = 22

To verify it, either plug in (-3,4) into the system or graph it to find the intersection of (-3,4) (you have to solve for y first).