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Solve each equation, if possible. $$ x+7=\frac{2 …

01:27

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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 61 Medium Difficulty

Solve each equation, if possible.
$$
\frac{7}{2}+\frac{3}{2} d=-9+1.5 d
$$

Answer

No solution

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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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Equations and Inequalities

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Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

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Problem 10

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Video Transcript

Okay, This one is gonna be a lot of fun. We have fractions and decimals, and nobody likes either those. So we're gonna just take care of that right off the get go. So I have my 1.5 D. This is in the 10th spot, and then I have my halfs, which are, um, which are as fractions. So I want to clear out those fractions. But what I'm gonna do is I'm gonna put this in terms of fractions just so I can kind of see what's going on and not be so intimidated. Okay, so and if you're not intimidated, that's awesome. Okay, so 1.5 is three halfs d. And now you can see Okay, It's not so bad. I just need to clear out the denominator by multiplying every single thing by two. So this by to this by to this by to this bite too. The two across off here. And I get seven to cross off here, and I get three d equals negative 18 and then two crosses off again. Plus three d. So much simpler to handle. Okay, So whether we like the fractions or not, this is easier it's just easier to handle. So let's go ahead and move the devalues to one side and the integer values to the other side. I will subtract three D And already I'm thinking you're going to see something super weird. Seven equals negative. 18. What? That's not possible. So what does that mean? It tells you that there is no solution possible at all here. Okay? That means no matter what, it's just never gonna work. So there is no solution if you get a false statement.

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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