SOLUTION: 4. 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

Question 123342: 4. 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 jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 4

If we have the solution (-3,4) , this means that and

Let's solve for b:

Start with the first equation

Plug in and

Multiply 5 and -3 to get -15. Multiply 7 and 4 to get 28.

Add -15 to 28 to get 13

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So our first answer is
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Now let's solve for m:

Start with the second equation

Plug in and

Multiply m and -3 to get .

Subtract 4 from both sides

Divide both sides by -3

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So our second answer is
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Summary:

So our answers are:
and

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