Solve and check. 5/6r = 15

Answer 1

To solve the equation, you can isolate the variable r by multiplying both sides of the equation by the reciprocal of 5/6, which is 6/5.

(5/6)(6/5)r = (15)(6/5)

The 6 in the numerator and 5 in the denominator cancel out on the left side, leaving:

r = (15)(6/5)

Simplifying the right side of the equation:

r = 90/5

r = 18

To check if this is the correct solution, substitute r = 18 back into the original equation:

5/6(18) = 15

(5/6)(18/1) = 15

90/6 = 15

15 = 15

Since the equation is true, the solution is valid. Hence, r = 18.