The graph shows two lines, A and B.
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points)
Part B: What is the solution to the equations of lines A and B? Explain your answer.

- anonymous

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- anonymous

##### 1 Attachment

- campbell_st

for part A--- how many times do the lines intersect... that is how many solutions exist

- TheSmartOne

@Michele_Laino @triciaal @Hero @Australopithecus @pooja195 @iambatman @nincompoop @dan815 @jigglypuff314

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## More answers

- campbell_st

part B--- just read off the point where the lines intersect

- anonymous

it intersects once

- muscrat123

^^

- campbell_st

so that is part A done...
part B what is the point of intersection

- anonymous

thats where i get confused

- muscrat123

u go to the right first

- campbell_st

ok... so the x value is 1st followed by the y value...
what is the x value where the lines intersect

- muscrat123

then go up

- muscrat123

if the coordinates were (4, 6) then u would go over 4 and go up 6

- campbell_st

I'll let others help you to avoid to many responses at once

- TheSmartOne

|dw:1437509032911:dw|

- muscrat123

maybe this can help
http://www.wikihow.com/Graph-Points-on-the-Coordinate-Plane

- muscrat123

:)

- anonymous

so 4?

- muscrat123

not quite

- muscrat123

a coordinate has 2 #s

- anonymous

(3,4)?

- Michele_Laino

that's right! @Austin.58

- anonymous

thats part b?

- Michele_Laino

yes! the ordered pair is requested in part B

- anonymous

Thank you! Can you please help me with one more

- muscrat123

:)

- Michele_Laino

ok!

- anonymous

Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $25 to buy a total of 20 packets of wafers of the two varieties.
Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the carnival. Define the variables used in the equations. (5 points)
Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)

- Michele_Laino

the algebraic system which model your problem is:
\[\left\{ \begin{gathered}
2x + y = 25 \hfill \\
x + y = 20 \hfill \\
\end{gathered} \right.\]

- Michele_Laino

where x ia the number of packets of chees wafers,
whereas y is the numbers of packets of chocolate wafers

- Michele_Laino

cheese*

- Michele_Laino

the first equation takes into account for total cost
the second one takes into account for total number of packets of wafer

- anonymous

so whats part a?

- Michele_Laino

the answer of part A is my system above, with the meaning of the variable x, and y, and the meaning of both equations as I wrote

- anonymous

so the algebraic system is part a?

- Michele_Laino

yes! please you have to keep in mind also the meaning of x and y

- anonymous

okay so now moving on to part b?

- Michele_Laino

yes! we can solve your system using the elimination method, namely we solve the second equation with respect to the variable y, so we get:
\[y = 20 - x\]

- Michele_Laino

then I substitute into the first equation, so i can write this:
\[2x + 20 - x = 25\]

- anonymous

so thats part b?

- anonymous

@Michele_Laino

- Michele_Laino

solving taht equation for x, I get:
x=5

- Michele_Laino

substituting x=5 into the equation for y, I get:
y=20-x=20-5=15

- Michele_Laino

so the solution is:
x=5, y=15
that is the answer for part B

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