Question

Solve the following system of equations. Please show your work to receive full credit.
x - y = 19
2x + y = 2

Part 2:
Explain which method you chose to solve the system and why you felt it was the best choice.

Answer 1

Ok to solve this one

Answer 2

We can use the elimination method

Answer 3

Ok. How do i do it though

Answer 4

Ok here I will make sure you get it

Answer 5

You see how there is -y and +y?

Answer 6

Yes i do

Answer 7

Ok that gives you the sign of being able to use elimination method

Answer 8

So you just cross them, out or "Eliminate them"

Answer 9

Then you add the x's

Answer 10

you have 2x and x add them and get 3x

Answer 11

Next since we already "eliminated the y's"

Answer 12

We have = 19 = 2

Answer 13

Just add those and get 21

Answer 14

ok

Answer 15

So you would then have 3x=21

Answer 16

and you would then just solve it normally you would get x=7

Answer 17

Which you get from dividing 21 by 3

Answer 18

Now we have our x

Answer 19

We still need to solve for our y

Answer 20

Ok

Answer 21

You can input our newly found x into any of the equations

Answer 22

Which one you want to use? x - y = 19
2x + y = 2

Answer 23

You can use any of them

Answer 24

or the easier one

Answer 25

So I pick the second one

Answer 26

im not sure what you mean i just need to answer that Question....

Answer 27

Ok so remember when we got our x

Answer 28

yes

Answer 29

We still need to get our y

Answer 30

So we have to replace x with our 7, you can do this with any of the equations in the questions

Answer 31

I picked the second one because I like to multiply through

Answer 32

2x + y = 2

Answer 33

ok

Answer 34

Is one I picked

Answer 35

So 2*7= 14

Answer 36

14 + y= 2

Answer 37

Ok now subtract 14

Answer 38

to 2

Answer 39

and then your y will =-12

Answer 40

Ok.

Answer 41

So your answer is (7,-12)

Answer 42

Oh thank you !!!

Answer 43

or if you want to write it out it is x=7 and y= -12

Answer 44

Yeah no problem!

Answer 45

Do you have any questions?

Answer 46

Not at the moment ill get back to ya on that

Answer 47

Sure, no problem!

Answer 48

Auditions for a play in New York were held with 120 men and women trying out for the lead singer position. If twice the number of men less three times the number of women is equal to 20, how many men auditioned?

44

40

76

80

Answer 49

Ok this one

Answer 50

yes

Answer 51

2x-3(120-x)=20

Answer 52

We made this from the question

Answer 53

Now we just solve it

Answer 54

So to get the rest we use distrubute property

Answer 55

2x - 360 + 3x = 20

Answer 56

So now we do + 360

Answer 57

and combine 2x and 3x

Answer 58

So you would get 5x= 380

Answer 59

and just divide

Answer 60

To get 76

Answer 61

So 76 men auditioned

Answer 62

Thank you again if i have another which i will ill type it in here

Answer 63

Now we need to find the woman

Answer 64

Wait we are not done yet

Answer 65

So we just put in 76 for x

Answer 66

120 - 76

Answer 67

i only need to know how many men auditioned

Answer 68

44 woman auditioned

Answer 69

Oh ok

Answer 70

Yeah no problem!

Answer 71

The graph of a system of parallel lines has no solutions.

Always

Sometimes

Never

Answer 72

Never

Answer 73

Wait

Answer 74

It's Always

Answer 75

It was one of those trick questions

Answer 76

how sure because i know on a graph parallel lines have no soultion so i think it is never

Answer 77

Always = Agree with the statement

Answer 78

duh see i almost missed that question my bad.

Answer 79

If you feel you are correct go with what you think

Answer 80

no your right i didnt read it right

Answer 81

Yeah I didnt read it right at first either

Answer 82

For the following system, if you isolated x in the second equation to use the Substitution Method, what expression would you substitute into the first equation?

3x + y = 8
-x - 2y = -10

-2y + 10

2y + 10

2y - 10

-2y - 10

Answer 83

this one

Answer 84

Ok sorry about that I was solving it on a paper

Answer 85

okay

Answer 86

Ok so 3x= 8 -y

Answer 87

ok

Answer 88

3x = 8 -y

Answer 89

? ok so whats the answer?

Answer 90

im lost

Answer 91

@dpasingh Could you come here and help him, I am cooking right now

Answer 92

Someone will come and help you give me a second

Answer 93

@amistre64 Can you help him Im busy with other things right now

Answer 94

they asked the same type of question that you did all the work for the first time; they keep on asking if "thats the answer" and "what is the answer" which tells me that they are not here to study any thing but to just have someone had them an answer to it .. so id really rather not :/

This is also why we would perfer that the asker participate in the solution process as opposed to being some by-stander and not having to do anything. We would also perfer that they close old questions that have been processed and post a new question instead of trying to fit them all into one post.

Answer 95

Ok, thanks amistre