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Problem

Solve for the specified variable. See Example 10.…

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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 115 Problem 116 Problem 117 Problem 118 Problem 119 Problem 120

Problem 41 Hard Difficulty

Solve for the specified variable. See Example 10.
$$
T=2 r+2 t \text { for } r
$$

Answer

$$r=\frac{T-2 t}{2}$$

Related Courses

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Algebra

Elementary and Intermediate Algebra

Chapter 2

Equations, Inequalities, and Problem Solving

Section 4

Formulas

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Algebra Topics That are Reviewed at the Start of the Semester

Equations and Inequalities

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Video Transcript

and this problem for asked to take the equation t equals two are plus two t We're being asked to solve this for are so in other words we're trying to isolate are all by itself. Well, to do this, we're gonna kind of treat this like a two step equation. We're gonna first move what's getting added to our to our term. Well, we're adding positive to t, so to move that positive to t to the left hand side, we're gonna simply subtract two tea. So on the left hand side, we have capital t minus two times lower case t. Well, because one of them's a capital T and one's a lower case t Those air not considered like terms so weak must keep them separate. So, in other words, will have capital t minus two times lower case T. Well, that will be equal to nothing has happened that you are so that we'll get brought down and to t minus duty is zero. So that cancels each other up. Well, remember, whilst we're are still trying to get our by itself while what's happening to our well, it's getting multiplied by two. Well, we'll see officer. The multiplying by two. Well, that's dividing by too. So we're gonna divide both sides of our equation by two. So on the left hand side, we have capital T minus two times lower case T all divided by two. Well, because both terms and numerator cannot both be evenly divided by two. We can leave that fraction as its and other words will have. Capital T minus two times lower case T all over too. And on the right hand side. Well, if you know this, we have to divide by two, which is one, so they cancel each other out. So we're simply left with our And now we've gotten our by itself. So we have found that capital T minus two times lower Case T all divided by two, is equal to ours.

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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