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Exercises Equations and inequalities

Example 2.18 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 2.18

Solve: $14 - 23 = 12 y - 4 y - 5 y .$

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 simplifying each side of the equation.

Simplify each side.

Divide both sides by $3$ to isolate $y$ .

Divide.

Check:

Substitute $y = −3$ .

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

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.