Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 1: Q. 1.174 (page 104)

Evaluate: $y + \frac{1}{2} w h e n (a) y = \frac{2}{3} (b) y = - \frac{3}{4}$

Short Answer

Expert verified

Part (a) The solution is $\frac{7}{6}$

Part (b) The solution is $- \frac{1}{4}$

Step by step solution

Part (a) Step 1. Given information

Fraction: $y + \frac{1}{2} w h e n y = \frac{2}{3}$

Part (a) Step 2. Calculation

We have,

$y + \frac{1}{2} w h e n (a) y = \frac{2}{3} = \frac{2}{3} + \frac{1}{2} = \frac{4}{6} + \frac{3}{6} = \frac{4 + 3}{6} = \frac{7}{6}$

Therefore, the solution is $\frac{7}{6}$

Part (b) Step 1. Given information

Fraction: $y + \frac{1}{2} w h e n y = - \frac{3}{4}$

Part (b) Step 2. Calculation

We have,

$y + \frac{1}{2} w h e n y = - \frac{3}{4} = - \frac{3}{4} + \frac{1}{2} = - \frac{3.1}{4.1} + \frac{1.2}{2.2} = - \frac{3}{4} + \frac{2}{4} = \frac{- 3 + 2}{4} = - \frac{1}{4}$

Therefore, the solution is $- \frac{1}{4}$

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91影视

Evaluate: $y + \frac{1}{2} w h e n (a) y = \frac{2}{3} (b) y = - \frac{3}{4}$

Short Answer

Step by step solution

Part (a) Step 1. Given information

Part (a) Step 2. Calculation

Part (b) Step 1. Given information

Part (b) Step 2. Calculation

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91影视

Evaluate: y+12when(a)y=23(b)y=-34

Short Answer

Step by step solution

Part (a) Step 1. Given information

Part (a) Step 2. Calculation

Part (b) Step 1. Given information

Part (b) Step 2. Calculation

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Evaluate: $y + \frac{1}{2} w h e n (a) y = \frac{2}{3} (b) y = - \frac{3}{4}$