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Problem

Solve for $y$. See Example 11. $$ 2 x+7 y=21 $$

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 115 Problem 116 Problem 117 Problem 118 Problem 119 Problem 120

Problem 44 Hard Difficulty

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

Answer

$t=\frac{A-P}{P r}$

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Equations, Inequalities, and Problem Solving

Section 4

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Video Transcript

in this problem, we're being asked to take the equation a equals, p plus p R T. And we're being asked to solve for tea. In other words, we want to get t all by itself. Well, to do that, we need to move all the other terms to the other side of the equation. Well, because P is getting added to the term p r t weaken, simply subtract P from both sides. So I'm going to subtract p from both sides of the equation. So let's see what we're left with. Well, on the left hand side, we have a minus p Well, those air not like terms. So we simply need to write a minus p Now, on the right hand side of the equation, we have P minus p, but that's equal to zero. So these first terms will cancel each other out, and we are now simply just left with P R T again. Keep in mind our goal is to get t all by itself. Well, what's happening to T Well, it's getting multiplied by P. Times are well, how do we undo Multiplying by P times are well, we would simply need to divide both sides by p times are and that's exactly what we're going to. D'oh! We're gonna divide both sides of our equation by P. Times are now on the left hand side because we cannot divide both A and P evenly by PR, we can essentially just leave it as is we'll have a minus p all getting divided by P. Times are now on the right hand side of the equation. We first have p divided by P. Well, that's equal to one. So these terms will cancel out as well as we have our divided by our which is also one. So those terms will cancel out. And if you know this, all we're left with is t. So now we've isolated t by itself and what we found is that a minus p divided by P times are is equal to t

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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