Enroll in one of our FREE online STEM summer camps. Space is limited so join now!View Summer Courses

CC

Kennesaw State University

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

Need more help? Fill out this quick form to get professional live tutoring.

Get live tutoring
Problem 7

In Exercises 7 - 10, determine whether each ordered pair is a solution of the system of equations

$ \left\{\begin{array}{l} 2x - y = 4\\8x + y = -9\end{array}\right. $

(a) $ (0 , -4) $

(b) $ (-2 , 7) $

(c) $ (\dfrac{3}{2} , -1) $

(d) $ (- \dfrac{1}{2} , -5) $

Answer

a) $(D)(-1 / 2,-5)$

b) $(D)(-1 / 2,-5)$

c) $(D)(-1 / 2,-5)$

d) $(D)(-1 / 2,-5)$

You must be logged in to like a video.

You must be logged in to bookmark a video.

## Discussion

## Video Transcript

Okay, So for this problem, we have two equations. We have two x minus y equals four. We have eight x plus. Why equals negative? Nine. And what this problem is asking us to do is to take the four points. I'm just playing the man and see if they work. That means each point has an X and y value was compliant breaks. And why? And see if they give us for it if they give us negative nine. So let's just start with a We're only if, If there's an answer, we're only going to have one answer. Let's keep going on. So, uh, point a is zero negative for So if I plug in zero negative for have to time zero, uh minus No, I get it for which is just that's a dumb 00 It's attract negative for really just adding for which does equal are four first equation works for a second equation. We're gonna do eight times zero on negative for eight times 00 for your adding negative four to same subtracting for that's negative. Four, which is not negative. Nine. So for incestuous, eh? This will not work and Citrus be we have. We're playing a negative two in seven. So you have two times two minus two times two is four four minus seven snail or three, which is not for so we can stop there because it has to work for both equations. That's a and B says, create a new son and talk about CND. The answer to a C was three halves, a negative one. So for playing that end, we have two times three halves minus negative one. I'm trying to see if that equals four in two times. Three. House just three three minus negative one. That's just three plus one. And does he Before first equation for a second equation, we're going to eight times three over two. Plus, you know you're not blind. We're trying to see if that's gonna equal negative time. Eight times three over two is just 12 for adding negative ones. That same subtracting one just just so 11 which does not equal negative nine. So answer choice, see, is also wrong. So going for answer choice d, we have negative 1/2 negative five case that appointment, and we're going to times negative one hand when it's attract negative fun receipt that equals four. So two times native, 1/2 his native one we subtract Negative five Seems adding fine. Negative one plus five Does evil for this is the first equation is correct. Second equation, we have eight times negative. 1/2 plus negative five. We're trying to see if that's gonna equal. Now, eight times a night of 1/2 is negative. For for adding negative finds, Seamus attracting by this does equal negative nine. We were looking for negative nine. And so we have two equations of that work. This point works in both equations. Two. This answer choice D is our only one network since And we should only have one answer that does work, if any at all. So answer choice D ding, ding, ding. That is our answer for this problem. It works when you plug it into both equations. Thank you very much.

## Recommended Questions