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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 1: Q. 1.173 (page 104)

Evaluate $x + \frac{3}{4} w h e n (a) x = - \frac{7}{4} (b) x = - \frac{5}{4}$

Short Answer

Expert verified

Part (a) The solution is $- 1$ .

Part (b) The solution is $- \frac{1}{2}$ .

Step by step solution

01

Part (a) Step 1. Given information

Fraction: $x + \frac{3}{4} w h e n x = - \frac{7}{4}$

02

Part (a) Step 2. Calculation

We have,

$x + \frac{3}{4} w h e n x = - \frac{7}{4} = - \frac{7}{4} + \frac{3}{4} = \frac{- 7 + 3}{4} = - \frac{4}{4} = - 1$

Therefore, the solution is $- 1$

03

Part (b) Step 1. Given information

Fraction: $x + \frac{3}{4} w h e n x = - \frac{5}{4}$

04

Part (b) Step 2. Calculation

We have,

$x + \frac{3}{4} w h e n x = - \frac{5}{4} = - \frac{5}{4} + \frac{3}{4} = \frac{- 5 + 3}{4} = - \frac{2}{4} = - \frac{1}{2}$

Therefore, the solution is $- \frac{1}{2}$

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