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

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Question 124871: 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

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


To do this problem you need to plug in the values from the coordinate into both problems. This gives you:
5%28-3%29%2B7%284%29=band-3m%2B4=22


Start with the first equation:
5%28-3%29%2B7%284%29=b


Multiply:
-15%2B28=b


Add:
13=b
Now you know what b equals.


Now do 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.


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