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anonymous

  • one year ago

Solve the following system of equations: x − 2y = 6 2x − 4y = 10

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  1. anonymous
    • one year ago
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    do you move the x to the other side first or do you just solve

  2. karatechopper
    • one year ago
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    Well have you heard of substitution or elimination?

  3. anonymous
    • one year ago
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    yes

  4. karatechopper
    • one year ago
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    Which process do you prefer?

  5. anonymous
    • one year ago
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    substitution

  6. anonymous
    • one year ago
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    so the equation would look like this 2y=x-6

  7. karatechopper
    • one year ago
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    What variable do you want to use?

  8. anonymous
    • one year ago
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    x and y

  9. karatechopper
    • one year ago
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    Okay pick one. :)

  10. anonymous
    • one year ago
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    x-2y=6

  11. karatechopper
    • one year ago
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    Lol tyler. I'm asking you to pick a variable that we can solve for in order to substitute.

  12. anonymous
    • one year ago
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    oh lol x

  13. karatechopper
    • one year ago
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    ahah alrighty then.

  14. karatechopper
    • one year ago
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    x − 2y = 6 Solve that equation for x now. :)

  15. anonymous
    • one year ago
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    so you would substitute 0 for x and the equation (0)-2y=6

  16. karatechopper
    • one year ago
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    nooooooooooooo

  17. karatechopper
    • one year ago
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    where have you go that my friend

  18. karatechopper
    • one year ago
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    Solve for x :)

  19. anonymous
    • one year ago
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    oops

  20. anonymous
    • one year ago
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    x-2(0)=6

  21. anonymous
    • one year ago
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    x=6

  22. karatechopper
    • one year ago
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    .uhm. We need to isolate x x − 2y = 6 Add 2y to both sides in order to make x be on its own. Whats x= now?

  23. anonymous
    • one year ago
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    x=2y+6

  24. karatechopper
    • one year ago
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    YAY! :D

  25. karatechopper
    • one year ago
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    Okay now let's look at the second equation.

  26. karatechopper
    • one year ago
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    2x − 4y = 10

  27. anonymous
    • one year ago
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    ok

  28. karatechopper
    • one year ago
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    We know that x=2y+6 Now plug that value for x into this equation 2x − 4y = 10

  29. anonymous
    • one year ago
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    ok so 2(2y+6)-4y=10

  30. anonymous
    • one year ago
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    4y+12-4y=10

  31. anonymous
    • one year ago
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    8y+12=10 8y=-2

  32. karatechopper
    • one year ago
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    Wait a minute..

  33. karatechopper
    • one year ago
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    2(2y+6)-4y=10 4y+12-4y=10 4y-4y=0 12=10 Dang we did something wrong.

  34. anonymous
    • one year ago
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    yeah maybe we entered the wrong equation

  35. karatechopper
    • one year ago
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    uhm lets try solving for x in the bottom equation? 2x-4y=10

  36. karatechopper
    • one year ago
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    actually don't...it won't work again.

  37. karatechopper
    • one year ago
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    Are you okay if we try elimination?

  38. anonymous
    • one year ago
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    yeah sure

  39. karatechopper
    • one year ago
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    Yay. x − 2y = 6 2x − 4y = 10 Okay so let's try to eliminate x, we will multiply the top equation by -2, Could you do that for me please?

  40. anonymous
    • one year ago
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    yay

  41. anonymous
    • one year ago
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    you multiply everthing by two or what

  42. karatechopper
    • one year ago
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    yes by -2

  43. anonymous
    • one year ago
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    ok so -2x-(-4)y=-20

  44. karatechopper
    • one year ago
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    what is 6 x -2?

  45. karatechopper
    • one year ago
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    We just wanted to multiply x-2y=6 You should have gotten (-2)x-(-2)(2)y=6(-2)

  46. anonymous
    • one year ago
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    -2x-(-4)y=-12

  47. karatechopper
    • one year ago
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    okay what is a negative times a negative

  48. anonymous
    • one year ago
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    positive

  49. anonymous
    • one year ago
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    so its a positive 4y

  50. karatechopper
    • one year ago
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    yes

  51. karatechopper
    • one year ago
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    now rewrite the equation we have.

  52. anonymous
    • one year ago
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    -2x+4y=-12

  53. karatechopper
    • one year ago
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    Alright turn up.

  54. anonymous
    • one year ago
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    yay

  55. karatechopper
    • one year ago
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    So lets rewrite the whole thing. -2x+4y=-12 2x − 4y = 10 Now, solve it out. As you can see...both variables cancel out... Did you post the right question? Also, the answer because we cannot solve it is.... No solution.

  56. anonymous
    • one year ago
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    ? Show that the solution to the system of equations 10x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations Show that the solution to the system of equations 10x − 2y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations Show that the solution to the system of equations 11x − y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations Show that the solution to the system of equations 11x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations

  57. karatechopper
    • one year ago
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    Woah there amigo, what is this?

  58. anonymous
    • one year ago
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    the answers

  59. karatechopper
    • one year ago
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    What? Those look like dif questions, I am confused.

  60. anonymous
    • one year ago
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    ok look at this

  61. anonymous
    • one year ago
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    A system of equations is shown below: 6x − 2y = 3 (equation 1) 5x + 3y = 4 (equation 2) A student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof? Show that the solution to the system of equations 10x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations Show that the solution to the system of equations 10x − 2y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations Show that the solution to the system of equations 11x − y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations Show that the solution to the system of equations 11x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations

  62. anonymous
    • one year ago
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    thats the whole question

  63. karatechopper
    • one year ago
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    @TheSmartOne Will try to help you for a bit, I've got to finish something else. Hope I was some sort of help. Sorry.

  64. anonymous
    • one year ago
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    your fine you were help @karatechopper

  65. TheSmartOne
    • one year ago
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    which question are we working on?

  66. anonymous
    • one year ago
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    the one up above

  67. anonymous
    • one year ago
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    but ill show you it just in case you didnt see it

  68. anonymous
    • one year ago
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    A system of equations is shown below: 6x − 2y = 3 (equation 1) 5x + 3y = 4 (equation 2) A student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof? Show that the solution to the system of equations 10x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations Show that the solution to the system of equations 10x − 2y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations Show that the solution to the system of equations 11x − y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations Show that the solution to the system of equations 11x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations

  69. TheSmartOne
    • one year ago
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    It's an interesting problem, hmmmm.

  70. TheSmartOne
    • one year ago
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    can you add these 2 equations and tell me what you get: 6x − 2y = 3 5x + 3y = 4

  71. anonymous
    • one year ago
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    ok

  72. TheSmartOne
    • one year ago
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    so basically, what is 6x + 5x -2y + 3y = 3 + 4

  73. anonymous
    • one year ago
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    yeah sorry i was doing something else

  74. anonymous
    • one year ago
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    11x-y=7

  75. TheSmartOne
    • one year ago
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    and which answer choice has 11x-y=7 ?

  76. anonymous
    • one year ago
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    the third and the fourth one

  77. anonymous
    • one year ago
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    C and D

  78. TheSmartOne
    • one year ago
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    C has 11x \(\bf\color{red}{−}\) y = 7 D has 11x \(\bf \color{red}{+}\) y = 7

  79. anonymous
    • one year ago
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    so the answer is C

  80. anonymous
    • one year ago
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    @TheSmartOne

  81. TheSmartOne
    • one year ago
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    correct

  82. anonymous
    • one year ago
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    awesome thank you

  83. TheSmartOne
    • one year ago
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    np :)

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