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Exercises Equations and inequalities

Example 8.1 from Prealgebra, 8.1 Solve Equations Using the Subtraction and Addition Properties of Equality

Solve Equations Using the Subtraction and Addition Properties of Equality: example 8.1

Determine whether $y = \frac{3}{4}$ is a solution for $4 y + 3 = 8 y .$

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

Multiply.

Add.

Since $y = \frac{3}{4}$ results in a true equation, $\frac{3}{4}$ is a solution to the equation $4 y + 3 = 8 y .$

Your turn

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

Is $y = \frac{2}{3}$ a solution for $9 y + 2 = 6 y ?$

How did it go?

Next Solve Equations Using the Subtraction and Addition Properties of Equality: example 8.2

From Prealgebra (1st edition) by OpenStax (Rice University), section 8.1, 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.