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Exercises Numbers, fractions and percents

Example 3.68 from Prealgebra, 3.5 Solve Equations Using Integers; The Division Property of Equality

Solve Equations Using Integers; The Division Property of Equality: example 3.68

Translate and solve: the number $108$ is the product of $−9$ and $y .$

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.

Solution

the number of $108$ is the product of $−9$ and $y$

Translate. $108 = −9 y$

Divide by $−9$ . $\frac{108}{−9} = \frac{−9 y}{−9}$

Simplify. $−12 = y$

Check the answer by substituting it into the original equation.

$\begin{matrix} 108 = −9 y \\ 108 \overset{?}{=} −9 (−12) \\ 108 = 108 ✓ \end{matrix}$

Your turn

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

Translate and solve:

The number $132$ is the product of $−12$ and $y$ .

How did it go?

PreviousSolve Equations Using Integers; The Division Property of Equality: example 3.67 Next Visualize Fractions: example 4.1

From Prealgebra (1st edition) by OpenStax (Rice University), section 3.5, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.