Question

The difference of 9 and the quotient of a number t and 6 is 5

Answer 1

Assuming you are supposed to solve for the variable "t",

9 - (t ÷ 6) = 5

Subtract 9 from both sides.

9 - 9 - (t ÷ 6) = 5 - 9

Simplify.

- (t ÷ 6) = -4

Distribute -1 throughout the parenthesis.

-t ÷ -6 = -4

Multiply both sides by -6.

-t ÷ -6 × -6 = -4 × -6

Simplify.

-t = 24

Divide both sides by -1.

-t ÷ -1 = 24 ÷ -1

Simplify.

t = -24