two mechanics worked on a car. the first mechanic worked for 10 hours, and the second mechanic worke

two mechanics worked on a car. the first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. together they charged a total of 1225. what was the rate charged per hour by each mechanic if the sum of the two rates was 170 per hour?

Set up two equations:
(1) 10x + 5y = 1225
(2) x + y = 170

Rearrange (2)
x = 170 - y

Substitute that into (1)
10(170 - y) + 5y = 1225
1700 - 10y + 5y = 1225
1700 - 5y = 1225

Move 5y to the other side
5y + 1225 = 1700

Subtract 1225 from each side
5y =475

Divide each side by 5
y = 95

Which means x = 170 - 95, x = 75