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Use the elimination method to solve each system. …

01:44

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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 17 Medium Difficulty

Use the elimination method to solve each system.
$$
\left\{\begin{array}{l}
{4 x+3 y=24} \\
{4 x-3 y=-24}
\end{array}\right.
$$

Answer

$x=0$
$y=8$

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Chapter 4

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Section 3

Solving Systems of Equations by Elimination (Addition)

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Video Transcript

we're going to solve this system by the elimination method, I noticed that you have opposite. Why terms You have three white and negative three white. So when we had these equations together, those will cancel. Add the ex terms and we get eight X and the white terms We get zero. Now we have equals and add the constants 24 negative 24. And we get zero. So eight X equals zero is where we are. Divide both sides of that by eight and you get X equals zero. Okay, so next What we want to do is substitute that into one of the two equations and sulfur. Why? So I'm going to call this equation one and this equation, too, and I'm going to substitute into equation one four x plus three y equals 24. So four times zero plus three y equals 24 and four times zero is zero. So all we have is three. Y equals 24. Divide both sides by three. Why equals eight? Now I'm going to check my answer by plugging the numbers I found into equation too. So that would be four x minus three y equals negative 24. So that would be four times zero minus three times eight equals negative 24. And that gives us negative. 24 equals negative. 24. So that checks. So our solution we write as an ordered pair X comma y zero comma eight.

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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