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anonymous

  • one year ago

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.

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  1. anonymous
    • one year ago
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  2. campbell_st
    • one year ago
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    for part A--- how many times do the lines intersect... that is how many solutions exist

  3. TheSmartOne
    • one year ago
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    @Michele_Laino @triciaal @Hero @Australopithecus @pooja195 @iambatman @nincompoop @dan815 @jigglypuff314

  4. campbell_st
    • one year ago
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    part B--- just read off the point where the lines intersect

  5. anonymous
    • one year ago
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    it intersects once

  6. muscrat123
    • one year ago
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    ^^

  7. campbell_st
    • one year ago
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    so that is part A done... part B what is the point of intersection

  8. anonymous
    • one year ago
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    thats where i get confused

  9. muscrat123
    • one year ago
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    u go to the right first

  10. campbell_st
    • one year ago
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    ok... so the x value is 1st followed by the y value... what is the x value where the lines intersect

  11. muscrat123
    • one year ago
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    then go up

  12. muscrat123
    • one year ago
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    if the coordinates were (4, 6) then u would go over 4 and go up 6

  13. campbell_st
    • one year ago
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    I'll let others help you to avoid to many responses at once

  14. TheSmartOne
    • one year ago
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    |dw:1437509032911:dw|

  15. muscrat123
    • one year ago
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    maybe this can help http://www.wikihow.com/Graph-Points-on-the-Coordinate-Plane

  16. muscrat123
    • one year ago
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    :)

  17. anonymous
    • one year ago
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    so 4?

  18. muscrat123
    • one year ago
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    not quite

  19. muscrat123
    • one year ago
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    a coordinate has 2 #s

  20. anonymous
    • one year ago
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    (3,4)?

  21. Michele_Laino
    • one year ago
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    that's right! @Austin.58

  22. anonymous
    • one year ago
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    thats part b?

  23. Michele_Laino
    • one year ago
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    yes! the ordered pair is requested in part B

  24. anonymous
    • one year ago
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    Thank you! Can you please help me with one more

  25. muscrat123
    • one year ago
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    :)

  26. Michele_Laino
    • one year ago
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    ok!

  27. anonymous
    • one year ago
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    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)

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

  29. Michele_Laino
    • one year ago
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    where x ia the number of packets of chees wafers, whereas y is the numbers of packets of chocolate wafers

  30. Michele_Laino
    • one year ago
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    cheese*

  31. Michele_Laino
    • one year ago
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    the first equation takes into account for total cost the second one takes into account for total number of packets of wafer

  32. anonymous
    • one year ago
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    so whats part a?

  33. Michele_Laino
    • one year ago
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    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

  34. anonymous
    • one year ago
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    so the algebraic system is part a?

  35. Michele_Laino
    • one year ago
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    yes! please you have to keep in mind also the meaning of x and y

  36. anonymous
    • one year ago
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    okay so now moving on to part b?

  37. Michele_Laino
    • one year ago
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    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: \[y = 20 - x\]

  38. Michele_Laino
    • one year ago
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    then I substitute into the first equation, so i can write this: \[2x + 20 - x = 25\]

  39. anonymous
    • one year ago
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    so thats part b?

  40. anonymous
    • one year ago
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    @Michele_Laino

  41. Michele_Laino
    • one year ago
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    solving taht equation for x, I get: x=5

  42. Michele_Laino
    • one year ago
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    substituting x=5 into the equation for y, I get: y=20-x=20-5=15

  43. Michele_Laino
    • one year ago
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    so the solution is: x=5, y=15 that is the answer for part B

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