Solve Equations using the Division and Multiplication Properties of Equality: example 2.22

Translate and solve: The quotient of $y$ and $−4$ is $68$ .

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Translate and solve: The quotient of $q$ and $−8$ is 72.

How did it go?

Translate.
Multiply both sides by $−4$ .
Simplify.
Check:	Is the quotient of $y$ and $−4$ equal to $68$ ?
Let $y = −272$ .	Is the quotient of $−272$ and $−4$ equal to $68$ ?
Translate.	$\frac{−272}{−4} \overset{?}{=} 68$
Simplify.	$68 = 68 ✓$

Translate.
Multiply both sides by $−4$ .
Simplify.
Check:	Is the quotient of $y$ and $−4$ equal to $68$ ?
Let $y = −272$ .	Is the quotient of $−272$ and $−4$ equal to $68$ ?
Translate.	$\frac{−272}{−4} \overset{?}{=} 68$
Simplify.	$68 = 68 ✓$