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cookiemonster2412

  • one year ago

I need help with absolute value equations!

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  1. anonymous
    • one year ago
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    whats your question

  2. cookiemonster2412
    • one year ago
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    \[\left| 6x+7 \right|=5x+2\]

  3. anonymous
    • one year ago
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    hold on

  4. anonymous
    • one year ago
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    go to to mathway.com it gives u all s ure answers k?

  5. cookiemonster2412
    • one year ago
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    I need it to be explained.

  6. anonymous
    • one year ago
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    Okay, absolute value is never a negative. For example, -5's absolute value would be 5. Or -2's absolute value would be 2. http://www.purplemath.com/modules/absolute.htm This site should help on absolute value.

  7. anonymous
    • one year ago
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    The first part is asking you to find the absolute value of 6x+7.

  8. phi
    • one year ago
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    when doing this \[ \left| 6x+7 \right|=5x+2 \] either 5x+7 is positive or negative if it is zero or positive, we can drop the | | (they don't do anything) so step 1: solve 6x+7 = 5x+2

  9. phi
    • one year ago
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    *either6x+7 is positive or negative

  10. anonymous
    • one year ago
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    And it is positive.

  11. phi
    • one year ago
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    can you solve for x in 6x+7 = 5x+2 ?

  12. cookiemonster2412
    • one year ago
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    This is what I got. 6x+7=5x+2 or 6x+7=5x-2

  13. phi
    • one year ago
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    just 6x+7=5x+2 add -5x to both sides add -7 to both sides

  14. cookiemonster2412
    • one year ago
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    x=-5

  15. phi
    • one year ago
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    now we check to see if that works 6x+7 with x= -5 6*-5+7 = -30+7 = -23 we assumed it was positive but we got a negative answer. not good but if we continue and check the other side \[ \left| 6x+7 \right|=5x+2 \\ |-23|= 5\cdot -5+2 \\ 23= -23 \text{ NO!} \]

  16. phi
    • one year ago
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    now let's assume 6x+7 is negative if it is negative, then -1*(6x+7) will be positive so | 6x+7| is the same as -1*(6x+7) (both become positive) so let's solve \[ -1\cdot (6x+7) = 5x+2\]

  17. cookiemonster2412
    • one year ago
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    x= -9/11

  18. phi
    • one year ago
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    yes, and now we check this one 6x+7= 6*-9/11 + 7 = -54/11 + 77/11 = 23/11 5x+2 = 5*-9/11 + 22/11 = -45/11 + 22/11 = -23/11 we end up with 23/11 = -23/11 and that is not true. so there are no solutions for this problem

  19. cookiemonster2412
    • one year ago
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    How do I graph this?

  20. phi
    • one year ago
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    can you plot y=5x+2 ?

  21. cookiemonster2412
    • one year ago
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    I'm supposed to graph it on a number line.

  22. phi
    • one year ago
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    First, are you sure we have the correct problem? can you double check?

  23. cookiemonster2412
    • one year ago
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    All it says is to solve and graph the equation.

  24. phi
    • one year ago
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    yes, but are you sure it is | 6x+7| = 5x+2

  25. cookiemonster2412
    • one year ago
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    I'm sure.

  26. phi
    • one year ago
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    in that case, there is no solution you can't graph "no solution" you can say there is none.

  27. cookiemonster2412
    • one year ago
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    Okay. Thank you.

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