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Exercises Equations and inequalities

Example 8.18 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 8.18

Solve: $11 - 20 = 17 y - 8 y - 6 y .$

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
Simplify each side by combining like terms.

Simplify each side.

Divide both sides by 3 to isolate y.

Simplify.

Check your answer. Let $y = −3$

Notice that the variable ended up on the right side of the equal sign when we solved the equation. You may prefer to take one more step to write the solution with the variable on the left side of the equal sign.

Your turn

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

Solve: $18 - 27 = 15 c - 9 c - 3 c .$

How did it go?

PreviousSolve Equations Using the Division and Multiplication Properties of Equality: example 8.17 Next Solve Equations Using the Division and Multiplication Properties of Equality: example 8.19

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.