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Use a property of equality to solve each equation…

00:33

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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 56 Hard Difficulty

Use a property of equality to solve each equation. Then check the result. See Example 6
$$
-\frac{4 a}{5}=\frac{11}{15}
$$

Answer

$a=(-11 / 12)$

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Elementary and Intermediate Algebra

Chapter 2

Equations, Inequalities, and Problem Solving

Section 1

Solving Equations Using Properties of Equality

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Video Transcript

solve the equation and check your solution. Negative for a divided by five is equal to 11 15th. Note that negative for a divided by five is the same thing as negative. 4/5 times, eh? Now we can isolate the variable by multiplying both sides of the equation. By the reciprocal of negative 4/5 the reciprocal of negative for Fitz is negative. 5/4 11 15th Time's negative 5/4 Let's use a multiplication shortcut to simplify the product. Five and 15 are both divisible by five. Five. Divided by five is 1 15 Divided by five is three. Be sure not to lose that negative. A is equal to 11 times negative. One Negative 11 Divided by three times for 12 A equals negative 11 12. To check the solution, let's substitute negative 11 12 into the original equation for a and see if it's a true statement. Negative lips Negative. 4/5 times negative. 11 12 Is that equal to 11 15th? Let's use a multiplication shortcut to simplify the product. Four and 12 are both divisible by 44 Divided by four is 1 12 Divided by four is three again. Don't lose that negative negative. One times negative 11 is positive. 11 divided by five times three is 15 11. 15 is equal to 11 15th a equals negative 11 12.

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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