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Solve the system by either the substitution or th…

01:54

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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 56 Hard Difficulty

Solve the system by either the substitution or the elimination method.
$$
\left\{\begin{array}{l}
{x=y} \\
{0.4 x-0.8 y=-0.5}
\end{array}\right.
$$

Answer

$y=\frac{+5}{4}$
$x=+\frac{5}{4}$

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Elementary and Intermediate Algebra

Chapter 4

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Section 3

Solving Systems of Equations by Elimination (Addition)

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Video Transcript

So the first thing I'm going to do here is eliminate the decimals in the second equation by multiplying the entire equation by 10. So now it's going to be four x minus eight y equals negative fight, and that's gonna be easier to work with in the future. Now notice that our first equation is just X equals. Why? So this is a great problem to use substitution for if I just substitute X and for my why I get four x minus eight times X equals negative five. So that would be negative for X equals negative five and X equals 5/4. And since X equals y if X equals 5/4 and why equals 5/4 and we need to check our answer, it would be wise just to make sure we didn't make a mistake so we can check the answer into the second equation. So we have here. This is our second equation there. This is our first equation there. I'll use this simplified second equation. So we have four times x four times 5/4 minus eight times Why eight times 5/4 equals negative. Five four times 5/4 is five eight times 5/4 is 10. So five minus 10 equals negative. Five. That is true, so that's a good check. So now we can write our answer as an ordered pair. X comma y 5/4 comma 5/4

We have video lessons for 94.35% of the questions in this textbook

Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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