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 Thank you

Algebra ->  Coordinate Systems and 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 Thank you       Log On


   

Question 59063: 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
Thank you
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Find values for m and b in the following system so that the solution to the system
is (-3, 4).
L1) 5x + 7y = b
L2) mx + y = 22
Let x=-3 and y=4 in L1 and solve for b:
5(-3)+7(4)=b
-15+28=b
13=b
highlight%28b=13%29
:
Now let x=-3 and y=4 in L2 and solve for m:
m(-3)+4=22
-3m+4=22
-3m+4-4=22-4
-3m=18
-3m/-3=18/-3
highlight%28m=-6%29
:
Check it out. Your system for which (-3,4) is a solution is:
5x+7y=13--->>5(-3)+7(4)=13---->>-15+28=13--->>13=13
-6x+y=22---->>>-6(-3)+(4)=22--->>18+4=22---->>22=22
We're Right!!!
Happy Calculating!!!