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Exercises Equations and inequalities

Example 2.3 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 2.3

Solve: $a - 28 = −37 .$

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

Add 28 to each side to ‘undo’ the subtraction.

Simplify.

Check:

Substitute $a = −9$

The solution to $a - 28 = −37$ is $a = −9 .$

Your turn

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

Solve: $n - 61 = −75 .$

How did it go?

PreviousSolve Equations Using the Subtraction and Addition Properties of Equality: example 2.2 Next Solve Equations Using the Subtraction and Addition Properties of Equality: example 2.4

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.