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anonymous

  • one year ago

What is the value of x? x/5 + 6 =36 x=?

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  1. mathstudent55
    • one year ago
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    Is this the equation? \(\dfrac{x}{5} + 6 = 36\)

  2. anonymous
    • one year ago
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    yes

  3. mathstudent55
    • one year ago
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    We need to isolate x, In order to do that, we need to undo the operations being done to x. x is being divided by 5. Then a 6 is being added. We start by undoing the addition of 6. Since we need to do the same to both sides of an equation, we subtract 6 from both sides.

  4. mathstudent55
    • one year ago
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    |dw:1443651036765:dw|

  5. mathstudent55
    • one year ago
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    What is 6 - 6 ?

  6. anonymous
    • one year ago
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    0

  7. mathstudent55
    • one year ago
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    Good. What is 36 - 6 ?

  8. anonymous
    • one year ago
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    30

  9. mathstudent55
    • one year ago
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    Good. Since there is no operation yet being done to x/5, we just copy it down. We get: |dw:1443651137106:dw|

  10. mathstudent55
    • one year ago
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    We now have \(\dfrac{x}{5} = 30\) x is being divided by 5. We need x by itself, so we do the opposite of dividing by 5. The opposite operation to division is multiplication. We need to multiply x/5 by 5 to end up with just x. The rule is that we need to do the operation to both sides of the equation, so we multiply both sides of the equation by 5.

  11. mathstudent55
    • one year ago
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    |dw:1443651276216:dw|

  12. mathstudent55
    • one year ago
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    What is 30 * 5 ?

  13. anonymous
    • one year ago
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    150?

  14. mathstudent55
    • one year ago
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    Yes. Since 5/5 = 1, we end up with just x on the left side, so we have our solution: |dw:1443651347959:dw|

  15. anonymous
    • one year ago
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    so 150 is the answer

  16. mathstudent55
    • one year ago
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    Yes. Now we can check. If we plug in 150 into x in the original equation, we must come up with a true statement. Let's check.

  17. mathstudent55
    • one year ago
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    |dw:1443651437740:dw|

  18. anonymous
    • one year ago
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    Thank You so much! could you help me with 3 more?

  19. mathstudent55
    • one year ago
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    Since replacing x with 150 makes the equation true, 150 is the correct solution to the equation.

  20. mathstudent55
    • one year ago
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    You're welcome. I'll help, but pls start a new post.

  21. anonymous
    • one year ago
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    ok :)

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