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Exercises Equations and inequalities

Example 2.20 from Elementary Algebra, 2.2 Solve Equations using the Division and Multiplication Properties of Equality

Solve Equations using the Division and Multiplication Properties of Equality: example 2.20

Translate and solve: The number 143 is the product of $−11$ 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
Begin by translating the sentence into an equation.

Translate.

Divide by $−11$ .

Simplify.

Check:
$\begin{matrix} 143 & = & −11 y \\ 143 & \overset{?}{=} & −11 (−13) \\ 143 & = & 143 ✓ \end{matrix}$

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 the Division and Multiplication Properties of Equality: example 2.19 Next Solve Equations using the Division and Multiplication Properties of Equality: example 2.21

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 2.2, 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.