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Solve each equation, if possible. $$ \frac{2}{3} …

02:59

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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 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 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 115 Problem 116 Problem 117 Problem 118 Problem 119 Problem 120 Problem 121 Problem 122 Problem 123 Problem 124

Problem 84 Hard Difficulty

Solve each equation, if possible.
$$
9.1 y+3.6=6.5 y-30.2
$$

Answer

$y=13$

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Elementary and Intermediate Algebra

Chapter 2

Equations, Inequalities, and Problem Solving

Section 2

More about Solving Equations

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Algebra Topics That are Reviewed at the Start of the Semester

Equations and Inequalities

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Video Transcript

in solving 9.1. Why? Plus 3.6 equals 6.5. Why? Minus 30.2. So I'd like to get rid of these decimals. And since the 1/6 of five and the two are all in the 10th space, I'm gonna multiply by 10 because that will allow me to move the decimal over one for every single one of these. So I'm gonna end up with 91 y plus 36 equals 65 Y minus 302. Much simpler to deal with. Now I'm going to subtract my 36 to the right and I get 91 y equals 65 y minus 338. Then I'm going to subtract my why to the left. So subtract the 65. Since it's positive, I want to undo it. And 91 minus 65 is 26. Why equals negative 338. And last but not least, I want to divide and I end up getting Oops. This is a 26 kind of getting why equals negative 13. Okay, I want to check this actually work so you could plug into the original or you could plug into the version that's 10 times higher. Both are probably going to require a calculator, this one, because decimals and this one because the numbers air larger for multiplication. So let's go ahead and do this 91 times Negative 13 plus 36 I'm asking, is that equal to 65 times negative? 13 minus 302? Okay, 91 times 13 and its negative is a negative. 1183 plus 36. And we want to know if that's the same thing as on the right. 65 times Negative 13 is negative. 845 minus. This is Ah, 302 negative. 302. Okay. And 1183 negative plus 36 is negative. 1147 and a negative. 8 45 a negative. +302 is also negative. 1147. So we see that why is indeed

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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