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?

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

-----> inequality A

------> 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

------> Is not a possible solution

Because the number of hours can not be negative

-2

7 - 9 = -2

reversed:

-2 + 9 = 7