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 ->  Linear-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 120643: 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
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
If we require that the solution is (-3,4),
5%28-3%29%2B7%284%29=13=b Substitute values for x and y into the first equation
and
m%28-3%29%2B4=22 Substitute values for x and y into the second equations
-3m=18 Subtract 4 from both sides
m=-6 Divide both sides by -3

then, m=-6, b=13 makes this system true.