Question

The graph of a system of linear equations results in 2 coincidental lines.
Which of the following is true about this graph?


The system has 1 solution

The system has no solutions

The system has infinite solutions

Not enough information

Answer 1

can u help me plz

Answer 2

Well, coincident lines are two lines that sit on top of each other. What's your answer?

Answer 3

1 solution

Answer 4

No, not quite. A "solution" is pretty much just a way of saying "the point at which the two lines meet".

Answer 5

Because the two lines never separate, how many "solutions" would you have?

Answer 6

it has no salutions

Answer 7

Not quite

Answer 8

infinate

Answer 9

Yep :)

Answer 10

thank u u are awesome I have some more do u mind helping me

Answer 11

Sure

Answer 12

thank u one sec

Answer 13

A waiter earned $23 in tips in an hour. He was paid in $1 bills and $5 bills. Use a model to determine how many $5 bills he received if he received a total of 15 bills.

1

2

3

4

Answer 14

Let's say x stands for the number of $1 bills and y stands for the number of $5 bills.

Answer 15

ok

Answer 16

\[1x+5y=23\]and\[x+y=15\]

Answer 17

I think its 3

Answer 18

Solve the following system:
\[x+5 y = 23 \]\[x+y = 15 \]Subtract equation 1 from equation 2:
\[x+5 y = 23 \]\[0 x-4 y = -8 \]Divide equation 2 by -4:
\[x+5 y = 23 \]\[0 x+y = 2 \]Subtract 5 × (equation 2) from equation 1:
\[x+0 y = 13 \]\[0 x+y = 2 \]
Collect results:

Answer 19

\[y=?\]\[x=?\]

Answer 20

idk XD

Answer 21

Simplify those last two equations and you'll have your answer :)

Answer 22

how do I simplfy

Answer 23

You just get rid of any extra stuff you don't need. What does 0*x equal?

Answer 24

0

Answer 25

And what does that leave you with on 0x+y=2?

Answer 26

y=2 x=0

Answer 27

You got Y right, but how is 0y+x=13 true if you say x=0?

Answer 28

x=13

Answer 29

Yes, so you had two $5 bills and thirteen $1 bills :)

Answer 30

ok thank u u are realy smart I have some more

Answer 31

Haha no problem. Okay

Answer 32

A hotel lobby can seat 19 people at chairs and loveseats. The lobby has a total of 12 pieces of furniture for seating. Assuming a chair seats 1 person and a loveseat seats 2, how many loveseats are in the lobby?

4

5

6

7

Answer 33

You'll do this like we did the last one. Loveseats are y and chairs are x.

Answer 34

\[2y+1x=19\]\[x+y=12\]

Answer 35

ok

Answer 36

and then

Answer 37

Solve the following system:
\[x+2 y = 19 \]\[x+y = 12 \]Subtract equation 1 from equation 2:
\[x+2 y = 19 \]\[0 x-y = -7 \]Multiply equation 2 by -1:
\[x+2 y = 19 \]\[0 x+y = 7 \]Subtract 2 × (equation 2) from equation 1:
\[x+0 y = 5 \]\[0 x+y = 7 \]Collect results:

Answer 38

x=5 y=7

Answer 39

Yes, very good :)

Answer 40

so the awnser is b

Answer 41

No, \[5+7*2=19\]

Answer 42

The loveseats each sit two people, so D is your answer :)

Answer 43

oh sorry ok

Answer 44

No problem

Answer 45

Stan's Equipment charges $10 plus $6 per hour to rent a lawnmower. Lawns-n-More charges $15 plus $5 per hour. The system of linear equations is graphed below. Match the number of rental hours with the statement that best describes the graph at that number of hours.

Answer 46

Match Term Definition
1 hr A) Lawns−n−More is cheaper.
5 hrs B) Stan's Equipment is cheaper.
6 hrs C) Stan's Equipment can be assumed to be more expensive.
8 hrs D) Stan's Equipment and Lawns−n−More would charge the same.

Answer 47

@DangerousJesse

Answer 48

One second, I'm going to draw it out.

Answer 49

You see how they form an "x"?

Answer 50

yes

Answer 51

That means that there is one solution to this (Solution= point at which the lines meet). At which hour do you see the solution?

Answer 52

jesse

Answer 53

Hm?

Answer 54

I am on a deadline with this test and I have to finish quick I just wanted to know if u could give me the awnsers plzzzzzzzzzz

Answer 55

this test is very important to me

Answer 56

hello......

Answer 57

The prices are the same at the five hour mark, and Stan's price is lower before the five hour mark. After the five hour mark, stan's price is higher and Lawns 'n' More is lower.

Answer 58

How would you make that match the list?

Answer 59

1 hr B) Stan's Equipment is cheaper.
5 hrs A) Lawns−n−More is cheaper.
6 hrs D) Stan's Equipment and Lawns−n−More would charge the same.
8 hrs C) Stan's Equipment can be assumed to be more expensive.

Answer 60

yhank u have a few more

Answer 61

Okay

Answer 62

Britany and Steven are taking two different vocal classes. The total cost c for each class is based on the number of class hours h as shown in the tables below. Based on the information in the tables, which statement is NOT true?

Answer 63

Britany and Steven pay the same total amount for 3 classes.

For one hour, Britany's class is cheaper than Steven's class.

Neither class has a registration fee.

For four hours, Britany's class costs less

Answer 64

C, you can't tell that just by looking at the charts.

Answer 65

Never mind, the answer is A. If no hours are free, then registration is free.

Answer 66

ok

Answer 67

The graph of a system of linear equations shows 2 lines with different slopes.


Part 1: What type of lines are they?

Part 2: Are the x and y intercepts the same or different?

Part 3: How many solutions would this system of equations have?

Answer 68

Is there a graph or no?

Answer 69

no

Answer 70

They are intercepting lines with the same x and y intercepts and one solution.