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Solve each system of equations by graphing. $$ \l…

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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 52 Hard Difficulty

Solve each system of equations by graphing.
$$
\left\{\begin{array}{l}
{3 x-6 y=18} \\
{x=2 y+3}
\end{array}\right.
$$

Answer

The lines are parallel, so that means that there is no point of intersection. This system has no solutions.

Related Courses

Algebra

Elementary and Intermediate Algebra

Chapter 4

Systems of Linear Equations and Inequalities

Section 1

Solving Systems of Equations by Graphing

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Equations and Inequalities

Systems of Equations and Inequalities

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Watch More Solved Questions in Chapter 4

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

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Problem 28

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Problem 46

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Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

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Problem 55

Problem 56

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Problem 62

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Problem 80

Problem 81

Problem 82

Problem 83

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Problem 88

Problem 89

Problem 90

Problem 91

Problem 92

Problem 93

Problem 94

Video Transcript

Okay, so we have our system of equations three X minus six y equals 18. And then our other equation X equals two. Why? Plus three. So I'm gonna make these in tow MX plus B to try to graph it. Actually, graph this 1st 1 huh? Just by finding the intercept. So if I make X equals zero, then why has to equal negative three? And if I make y equals zero, then Xs equal sixth Street 10 6 of 18 through the blue one. I think I will make it into MX plus bee sting and subtract X. So I have zero equals Negative X plus two plus three. Now subtract two. Why? It's a negative, Drew. Why equals negative X plus three. And then I'm gonna divide by Negative too. So why equals 1/2 X minus three hands? And if you don't like fractions, you can just think about this Negative 1.5. So, um, I am is 1/2 might be is negative. Three hounds. So to graft that zero negative. Three for 5660 Those are my two red dots. And then from my blue line, I started negative three halves a negative warning a and then I go up 1/2 up, 1/2. You can see that those two lines are parallel so they don't touch, so there's no solution to the system.

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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