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Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset Vaia Explanations$ Math

Common Core Edition · 183 pages

ISBN: 9780547587776

Chapter 3: Q33. (page 133)

Logical Reasoning Copy and complete the steps for solving the equations shown. Use properties to justify as many steps as possible.

Short Answer

Expert verified

$\begin{array}{l} 5 t - 24 = 8 t \underline{writetheoriginalequation} \\ 5 t - 24 - 5 t = 8 t - 5 t \underline{subtract5tfrombothsides} \\ - 24 = 3 t \underline{simplify} \\ - \frac{24}{3} = \frac{3 t}{3} \underline{divideeachsideby3} \\ - 8 = t \underline{simplify} \end{array}$

Step by step solution

01

Step-1 – Given

The given steps are:

02

Step-2 – To determine

We have to find the proper reasons for the given steps.

03

Step-3 – Calculation

The reasons for each step are as follows,

$\begin{array}{l} 5 t - 24 = 8 t writetheoriginalequation \\ 5 t - 24 - 5 t = 8 t - 5 t subtract 5 t frombothsides \\ - 24 = 3 t simplify \\ - \frac{24}{3} = \frac{3 t}{3} divideeachsideby3 \\ - 8 = t simplify \end{array}$

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