Math Question, need help

Question

Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1800 . What was the rate charged per hour by each mechanic if the sum of the two rates was $155 per hour?

Answer 1

Let x = the hours for mechanic 1 and y = hrs for mechanic 2

10x + 15 y = 1800

x + y =155

Multiply the second equation by 10 and subtract it from the firs

10 + 10y = 1550

5y = 250

y = 50

x =105