Question

Nolan has $15.00. He earns $6.00 an hour babysitting. Claire has $9.00. She makes $8.00 an hour babysitting. Use the system of linear equations below to find the number of hours of babysitting after which Nolan and Claire will have the same amount of money.

m = 6h + 15
m = 8h + 9
PLEASE SHOW WORK

Answer 1

since both equations are equal to ‘m’ plug it in!
6h+15=8h+9
*now simplify by adding and subtracting likes from one side to another*
6=2h
*now divide both sides by 2*
3=h; Nolan and Claire will have the same amount of money after 3 hours