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 46580This 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).
5x + 7y =b
mx + y= 22 This question is from textbook

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
5x+%2B+7y+=+b
mx+%2B+y+=+22
a solution is (-3,4)
5%2A%28-3%29+%2B+7%2A4+=+b
-15+%2B+28+=+b
b+=+13
-3m+%2B+4+=+22
3m+=+4+-+22
3m+=+-18
m+=+-6
check
is (-3,4) a solution?
5x+%2B+7y+=+b
5%2A%28-3%29+%2B+7%2A%284%29+=+13
-15+%2B+28+=+13
13+=+13
OK
mx+%2B+y+=+22
-6%2A%28-3%29+%2B+4+=+22
18+%2B+4+=+22
22+=+22
OK