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Solve for $y$. See Example 11. $$ 3 x+4 y=20 $$

01:34

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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 45 Hard Difficulty

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

Answer

$$y=-\frac{2}{7} x+3$$

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Algebra

Elementary and Intermediate Algebra

Chapter 2

Equations, Inequalities, and Problem Solving

Section 4

Formulas

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Video Transcript

we're being asked to take the equation to X plus seven y equals 21 solve it for why? So in other words, we want to isolate. Why on one side of the equation. So how are we going to do this? Well, if you know this, the term two acts is getting added to the term seven. Why? So we can move the two X to the other side of the equation by simply subtracting to wax. And the reason why we want to do this is no This we have to x minus two acts. Well, that's equal to zero. So this terms will cancel each other out, and we will just be left with seven. Why? On the left hand side of the equation? Well, on the right hand side, we have 21 minus two ex Well, those air not like terms, so we can't combine them. So we can simply just right. 21 minus two ax. Now, know this on the left hand side, we're left with seven times. Why? So because why is getting multiplied by seven to get the seven to the other side? What we're going to do is we're going to divide each term by seven. So what happens here? Well, in the left hand side, we have seven divided by seven, which is one. So they'll cancel each other out. So we'll have. Why equals? Well, on the right hand side, we first have 21 divided by seven, which is three. And then we have two divided by seven, which doesn't reduce. So we'll simply just have minus two sevens X. And now we've got an why by itself. So why is equal to three minus 27 sex Now you can also rewrite it this way. We could also put the negative to seven X term first, followed by the positive three. If we were to do that, we would say that why is equal to negative two Sevens X plus three? And this would be acceptable answer for why, as well

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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