let number of hours = x
1st equation is 15.54+0.11x
2nd equation is 16.14-0.09x
now calulate x so the 2 equations are equal:
15.54+0.11x=16.04-0.09x
mutiply evrything by 100 to get rid of the decimal points andmake the calculations a little easier
1554+11x=1604-9x
add 9 x to both sides:
1554+20x=1604
subtract 1554 from both sides:
20x=50
divide 50 by 20 for x
x=50/20 = 2.5
x = 2.5
so they were the same after 2.5 hours