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anonymous

  • one year ago

Two equations are shown: Equation 1: 3 4 (x−12)=12 Equation 2: 3 4 y−12=12 Solve each equation. Then, enter a number in each box to make this statement true. please help

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  1. anonymous
    • one year ago
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    please help

  2. anonymous
    • one year ago
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    @Vocaloid please help

  3. mathstudent55
    • one year ago
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    Do you mean \(\dfrac{3}{4}(x - 12) = 12\) ?

  4. anonymous
    • one year ago
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    yes

  5. mathstudent55
    • one year ago
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    Then the first thing you need to do is to get rid of the 3/4 from the left side. To do that, multiply both sides by 4/3

  6. anonymous
    • one year ago
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    do i multiply 4/3

  7. mathstudent55
    • one year ago
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    \(\dfrac{4}{3} \times \dfrac{3}{4}(x - 12) = \dfrac{4}{3} \times 12\)

  8. mathstudent55
    • one year ago
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    \(\dfrac{\cancel{4}}{\cancel{3}} \times \dfrac{\cancel{3}}{\cancel{4}}(x - 12) = 16\)

  9. mathstudent55
    • one year ago
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    Now you have simply: \(x - 12 = 16\)

  10. anonymous
    • one year ago
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    what is the value of X

  11. mathstudent55
    • one year ago
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    Now what do you need to do to get rid of the -12 on the left side?

  12. mathstudent55
    • one year ago
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    Since 12 is being subtracted from x, you do the opposite operation, which is add 12. You must do the same operation to both sides of an equation, so you add 12 to both sides.

  13. mathstudent55
    • one year ago
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    \(x - 12+12 = 16+12\) \(x = 28\)

  14. anonymous
    • one year ago
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    that mean the value of X =28

  15. mathstudent55
    • one year ago
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    Yes.

  16. mathstudent55
    • one year ago
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    For the second equation, you have y instead of x, but also no parentheses, right?

  17. anonymous
    • one year ago
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    then what is the value of Y

  18. mathstudent55
    • one year ago
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    Is this the second equation? \(\dfrac{3}{4}y - 12 = 12\)

  19. anonymous
    • one year ago
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    y = 12

  20. mathstudent55
    • one year ago
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    Are you sure?

  21. anonymous
    • one year ago
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    no

  22. anonymous
    • one year ago
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    i think it is cuz u have to divide

  23. mathstudent55
    • one year ago
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    Let's do it. Did I write the second equation correctly? Is the second equation like the first equation except you have y instead of x and no parentheses?

  24. anonymous
    • one year ago
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    yes

  25. mathstudent55
    • one year ago
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    \(\dfrac{3}{4}y - 12 = 12\) First, we need to get rid of the -12, so we add 12 to both sides. \(\dfrac{3}{4}y - 12 + 12 = 12 + 12\) \(\dfrac{3}{4}y = 24\) Do you follow so far?

  26. anonymous
    • one year ago
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    yes

  27. anonymous
    • one year ago
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    srry took a 5 min nap

  28. mathstudent55
    • one year ago
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    Now we need to get rid of the 3/4 multiplying x, so we divide both sides by 3/4. Dividing by a fraction is the same as multiplying by its reciprocal. We now multiply both sides by 4/3, the reciprocal of 3/4.

  29. anonymous
    • one year ago
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    multiply 4/3

  30. mathstudent55
    • one year ago
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    \(\dfrac{\cancel{4}}{\cancel{3}} \times \dfrac{\cancel{3}}{\cancel{4}}y = \dfrac{4}{3} \times 24\) \(y = 32\)

  31. mathstudent55
    • one year ago
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    As you can see, having or not having the parentheses in the original equation makes a difference in the answers.

  32. anonymous
    • one year ago
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    thanks alot

  33. mathstudent55
    • one year ago
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    You're welcome.

  34. anonymous
    • one year ago
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    i have one more

  35. anonymous
    • one year ago
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    can you help?

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