anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
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anonymous
  • anonymous
campbell_st
  • campbell_st
for part A--- how many times do the lines intersect... that is how many solutions exist
TheSmartOne
  • TheSmartOne
@Michele_Laino @triciaal @Hero @Australopithecus @pooja195 @iambatman @nincompoop @dan815 @jigglypuff314

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campbell_st
  • campbell_st
part B--- just read off the point where the lines intersect
anonymous
  • anonymous
it intersects once
muscrat123
  • muscrat123
^^
campbell_st
  • campbell_st
so that is part A done... part B what is the point of intersection
anonymous
  • anonymous
thats where i get confused
muscrat123
  • muscrat123
u go to the right first
campbell_st
  • campbell_st
ok... so the x value is 1st followed by the y value... what is the x value where the lines intersect
muscrat123
  • muscrat123
then go up
muscrat123
  • muscrat123
if the coordinates were (4, 6) then u would go over 4 and go up 6
campbell_st
  • campbell_st
I'll let others help you to avoid to many responses at once
TheSmartOne
  • TheSmartOne
|dw:1437509032911:dw|
muscrat123
  • muscrat123
maybe this can help http://www.wikihow.com/Graph-Points-on-the-Coordinate-Plane
muscrat123
  • muscrat123
:)
anonymous
  • anonymous
so 4?
muscrat123
  • muscrat123
not quite
muscrat123
  • muscrat123
a coordinate has 2 #s
anonymous
  • anonymous
(3,4)?
Michele_Laino
  • Michele_Laino
that's right! @Austin.58
anonymous
  • anonymous
thats part b?
Michele_Laino
  • Michele_Laino
yes! the ordered pair is requested in part B
anonymous
  • anonymous
Thank you! Can you please help me with one more
muscrat123
  • muscrat123
:)
Michele_Laino
  • Michele_Laino
ok!
anonymous
  • 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
  • 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
  • Michele_Laino
where x ia the number of packets of chees wafers, whereas y is the numbers of packets of chocolate wafers
Michele_Laino
  • Michele_Laino
cheese*
Michele_Laino
  • 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
  • anonymous
so whats part a?
Michele_Laino
  • 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
  • anonymous
so the algebraic system is part a?
Michele_Laino
  • Michele_Laino
yes! please you have to keep in mind also the meaning of x and y
anonymous
  • anonymous
okay so now moving on to part b?
Michele_Laino
  • 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
  • Michele_Laino
then I substitute into the first equation, so i can write this: \[2x + 20 - x = 25\]
anonymous
  • anonymous
so thats part b?
anonymous
  • anonymous
@Michele_Laino
Michele_Laino
  • Michele_Laino
solving taht equation for x, I get: x=5
Michele_Laino
  • Michele_Laino
substituting x=5 into the equation for y, I get: y=20-x=20-5=15
Michele_Laino
  • Michele_Laino
so the solution is: x=5, y=15 that is the answer for part B

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