Question

What is the system of linear equations to represent the situation?

Answer 1

Answer:

x+y= 30

8x+7.5y=234

you need to work 18 hours as a dog walker and 12 hours at the carwash

Step-by-step explanation:

x is the number of hours spent dog walking

y is the number of hours spent at the car wash

x+y is to total number of hours work (30)

8x is the amount made dog walking

7.5y is the amount made working at the carwash

234 is the total amount made by working 30 hours

x+y= 30

8x+7.5y=234

to solve:

x+y=30  (isolate the variable x) x=30-y

8(30-y)=234 (substitute in the 30-y for x)

240-8y+7.5y=234 (distribute the 8)

240-.5y=234 (combine like terms)

-.5y=-6 (subtract 240 from each side)

y=12 (divide by .5)

x+12=30 (put 12 in for y)

x=18 (subtract 12 from both sides)

you need to work 18 hours as a dog walker and 12 hours at the carwash