ANSWER : Rozalie spent 6.73 hours at the garage
rate of change = $2.75
base fee = $7.50
set up your equation:
2.75h + 7.5 = 26
($2.75/hour plus the base fee of $7.50 equals the total amount spent, $26)
Now just solve for h
2.75h + 7.5 = 26
2.75h = 18.5
h = 6.727273 (rounded)
h = 6.73
So the answer would be Rozalie spent about 6.73 hours at the garage.
I believe this question logically tells us to find the value of w. The two equations are already equated. Since there is 1 unknown and 1 equation, the system is solvable. The solution is as follows:
5/(6w+21) = -1/3(2w - 9)
5/(6w+21) = -1/(6w - 27)
Cross multiplying the terms:
5(6w - 27) = -1(6w +21)
30w - 135 = -6w - 21
30w + 6w = -21 + 135 = 114
36w = 114
w = 114/36
w = 19/6 or 3.167
The answer would be, x = -14
