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Solve each equation. See Example 6. $$ |3 x|=|2 x…

01:49

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105 Problem 106 Problem 107 Problem 108 Problem 109 Problem 110 Problem 111 Problem 112 Problem 113 Problem 114

Problem 83 Hard Difficulty

Solve each equation. See Example 6.
$$
|6 x|=|9 x+1|
$$

Answer

$\left\{-\frac{1}{3},-\frac{1}{15}\right\}$

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Algebra

Beginning and Intermediate Algebra

Chapter 9

Inequalities and Absolute Value

Section 2

Absolute Value Equations and Inequalities

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Graphs and Statistics

Equations and Inequalities

Systems of Equations and Inequalities

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Absolute Value - Example 1

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Video Transcript

when we have problem 83 and which we need to solve. 83 in which 22 soul. The question models of six sex equal to mortals off. Nine X plus one my next plus one. So from the definition of model is this convergence Size six X equal toe minus off nine X plus one, uh, six X equal toe my next plus one. So first of all, let us Oh, okay, First of all, let us open the back it six x equal to minus nine x minus one are six x equal to nine X. Bless one. No, we need to add my next year. So nine x will be added. Here. Here. We should subtract nine x from both the sides. Okay, so this will get cancelled out. This will get cancelled out. We will be left with 15 x it called to minus one. Oh, are minus three X equal to one. No, we don't divide both sides by 15 yet also if then and 15 you will be left with Oh, I'm sorry. Here. It should not be 15 here should be three because, um, not three minus tree because we need toe get rid of that minus three, which is the coefficient of X. Okay, so this will get cancelled out. So we have X equal toe minus 1/15 or X equal. Two minds, 1/3. So we have a solution as X equal to X equal to minus 1/3 and minus one. Over 15. Be there, then says thank you. So

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Beginning and Intermediate Algebra

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Solve each equation. See Example 6.
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