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Exercises Expressions, exponents and radicals

Example 2.29 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 2.29

$Determine whether y = 2 is a solution of 6 y - 4 = 5 y - 2 .$

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
Here, the variable appears on both sides of the equation. We must substitute $2$ for each $y .$

Multiply.

Subtract.

Since $y = 2$ results in a true equation, we know that $2$ is a solution to the equation $6 y - 4 = 5 y - 2 .$

Your turn

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

$Is y = 3 a solution of 9 y - 2 = 8 y + 1 ?$

How did it go?

PreviousSolving Equations Using the Subtraction and Addition Properties of Equality: example 2.28 Next Solving Equations Using the Subtraction and Addition Properties of Equality: example 2.30

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.