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Exercises Equations and inequalities

Example 8.13 from Prealgebra, 8.2 Solve Equations Using the Division and Multiplication Properties of Equality

Solve Equations Using the Division and Multiplication Properties of Equality: example 8.13

Solve: $4 x = −28 .$

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
We use the Division Property of Equality to divide both sides by $4 .$

Divide both sides by 4 to undo the multiplication.

Simplify.

Check your answer. Let $x = −7$ .

Since this is a true statement, $x = −7$ is a solution to $4 x = −28 .$

Your turn

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

Solve: $3 y = −48 .$

How did it go?

PreviousSolve Equations Using the Subtraction and Addition Properties of Equality: example 8.12 Next Solve Equations Using the Division and Multiplication Properties of Equality: example 8.14

From Prealgebra (1st edition) by OpenStax (Rice University), section 8.2, 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.