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Exercises Expressions, exponents and radicals

Example 2.28 from Prealgebra, 2.3 Solving Equations Using the Subtraction and Addition Properties of Equality

Solving Equations Using the Subtraction and Addition Properties of Equality: example 2.28

$Determine whether x = 5 is a solution of 6 x - 17 = 16 .$

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.

Subtract.

So $x = 5$ is not a solution to the equation $6 x - 17 = 16 .$

Your turn

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

$Is x = 3 a solution of 4 x - 7 = 16 ?$

How did it go?

PreviousEvaluate, Simplify, and Translate Expressions: example 2.27 Next Solving Equations Using the Subtraction and Addition Properties of Equality: example 2.29

From Prealgebra (1st edition) by OpenStax (Rice University), section 2.3, 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.