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Exercises Expressions, exponents and radicals

Example 2.32 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 2.32

Solve: $100 = y + 74 .$

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
To solve an equation, we must always isolate the variable—it doesn’t matter which side it is on. To isolate $y,$ we will subtract $74$ from both sides.

Subtract 74 from both sides.

Simplify.

Substitute $26$ for $y$ to check.

Since $y = 26$ makes $100 = y + 74$ a true statement, we have found the solution to this equation.

Your turn

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

Solve:

$95 = y + 67$

How did it go?

PreviousSolving Equations Using the Subtraction and Addition Properties of Equality: example 2.31 Next Solving Equations Using the Subtraction and Addition Properties of Equality: example 2.33

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.