Samantha and Matt are each saving for new bikes. So far, Samantha has saved $15 and can earn $2 per hour for babysitting. Matt has saved $3 and can earn $4 per hour working at his family's restaurant. After how many hours of work will Samantha and Matt have earned the same amount?

6 hours

Step-by-step explanation:

We know that:

Samantha = 15 + 2x Matt = 3 + 4xSamantha = Matt[x = Number of hours]

Solution:

15 + 2x = 3 + 4x=> 15 - 3 = -2x + 4x=> 12 = 2x=> x = 6

Hence, after 6 hours of work, Samantha and Matt will have the same amount.

The answer is a (-3,-10.75

So the first thing we do is to multiply the top equation by 3. the reason i want to do this is i notice there will be a 6y on both equations and can possibly add/subtract them. so we get 6y = -3x + 27. adding that and the second equation we get 6x = 27-15 which is 12. divide by 6 and we get 2. ∴ x = 2. substituting 2 into the first equation we get 2y = -2 + 9 which is 7. divide by 2 and we get 7/2. ∴ y = 7/2, x = 2.