SOLUTION: find the values for m and b in the following system so that the solution to the system is (-3,4) mx+3y=8 -3x+4y=b

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: find the values for m and b in the following system so that the solution to the system is (-3,4) mx+3y=8 -3x+4y=b      Log On


   

Question 107070This question is from textbook
: find the values for m and b in the following system so that the solution to the system is (-3,4)
mx+3y=8
-3x+4y=b This question is from textbook

Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Since the solution is (-3,4) we will use x=-3 and y=4

Substituting x=-3 and y=4 to mx%2B3y=8
-3m%2B3%284%29=8
-3m%2B12=8
-3m%2B12-12=8-12
-3m%2B0=-4
-3m=-4
%28-3m%29%2F%28-3%29=%28-4%29%2F%28-3%29
m=4%2F3

Substituting x=-3 and y=4 to -3x%2B4y=b,
-3%283%29%2B4%284%29=b
-9%2B16=b
b=7


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