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Exercises Equations and inequalities

Example 2.10 from Elementary Algebra, 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality

Solve Equations Using the Subtraction and Addition Properties of Equality: example 2.10

Translate and solve: The difference of $12 t$ and $11 t$ is $−14$ .

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

Translate.

Simplify.

Check:
$\begin{matrix} 12 (−14) - 11 (−14) & \overset{?}{=} & −14 \\ −168 + 154 & \overset{?}{=} & −14 \\ −14 & = & −14 ✓ \end{matrix}$

Your turn

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

Translate and solve: The difference of $4 x$ and $3 x$ is 14.

How did it go?

PreviousSolve Equations Using the Subtraction and Addition Properties of Equality: example 2.9 Next Solve Equations Using the Subtraction and Addition Properties of Equality: example 2.11

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 2.1, 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.