Question

You can work no more than 60 hours each week at your two jobs. Dog walking pays $7 per hour and your sales job at Computers & More, Inc. pays $12 per hour. You need to earn at least $450 each week to pay your bills. Your friend solves the system of inequalities {x+y≤60
                   {7x+12y≥450
and tells you that a possible solution is (-3, 50). Is this a possible solution, why or why not?

Answer 1

Yes it can be a possible answer because if you take 12x50 you will get 600, then you have to subtract the -21 from the (7x-3) an you will have $579. 

Answer 2

Answer:

Is not a possible solution

Because the number of hours can not be negative

Step-by-step explanation:

Let

x------> the number of hours in the dog walking job

y----->  the number of hours in the sales job

we know that

$x+y\leq 60$ -----> inequality A

$7x+12y\geq 450$ ------> inequality B

Remember that

If a ordered pair is a solution of the system of inequalities

then

the ordered pair must satisfy both inequalities

we have

$(-3,50)$ ------> Is not a possible solution

Because the number of hours can not be negative