SOLUTION: Find the 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!!!!

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Question 124641: Find the 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 iluvbuilding429(41) About Me  (Show Source):
You can put this solution on YOUR website!
Find the 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


First you must plug in the x and y values given in the coordinate:
5%28-3%29%2B7%284%29=band-3m%2B4=22
Now you have two solvable equations.


Begin by solving the first one:
5%28-3%29%2B7%284%29=b


Multiply:
-15%2B28=b


Add:
13=b


Now, solve the second equation:
-3m%2B4=22


Subtract 4 from both sides:
-3m=18


Divide both sides by -3:
m=-6


So, b=13 and m=-6