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Exercises Equations and inequalities

Example 2.46 from Elementary Algebra, 2.4 Use a General Strategy to Solve Linear Equations

Use a General Strategy to Solve Linear Equations: example 2.46

Classify as a conditional equation, an identity, or a contradiction. Then state the solution.

$10 + 4 (p - 5) = 0$

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

Distribute.

Combine like terms.

Add $10$ to both sides.

Simplify.

Divide.

Simplify.

The equation is true when $p = \frac{5}{2}$ . This is a conditional equation.
The solution is $p = \frac{5}{2} .$

Your turn

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

Classify the equation as a conditional equation, an identity, or a contradiction and then state the solution: $11 (q + 3) - 5 = 19$

How did it go?

PreviousUse a General Strategy to Solve Linear Equations: example 2.45 Next Use a General Strategy to Solve Linear Equations: example 2.47

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 2.4, 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.