algebra 2

posted by .

Solve the equation. Check for extraneous solutions.

9|9-8x|=2x+3

can anyone please show me how to do this problem?

  • algebra 2 -

    9 | 9 - 8 x | = 2 x + 3 Divide both sides by 9

    | 9 - 8 x | = 2 x / 9 + 3 / 9

    | 9 - 8 x | = 2 x / 9 + 1 / 3


    + OR - ( 9 - 8 x ) = 2 x / 9 + 1 / 3


    1.

    + ( 9 - 8 x ) = 2 x / 9 + 1 / 3


    9 - 8 x = 2 x / 9 + 1 / 3 Subtract 9 to both sides

    9 - 8 x - 9 = 2 x / 9 + 1 / 3 - 9

    - 8 x = 2 x / 9 + 1 / 3 - 27 / 3

    - 8 x = 2 x / 9 - 26 / 3 Subtract 2 x / 9 to both sides

    - 8 x - 2 x / 9 = 2 x / 9 - 26 / 3 - 2 x / 9


    - 8 x - 2 x / 9 = - 26 / 3

    - 72 x / 9 - 2 x / 9 = - 26 / 3

    - 74 x / 9 = - 26 / 3 Multiply both sides by 9

    - 74 x = - 26 * 9 / 3


    - 74 x = - 234 / 3

    - 74 x = - 78 Divide both sides by - 74

    x = - 78 / - 74

    x = - 2 * 39 / - ( 2 * 37 )

    x = - 39 / - 37

    x = 39 / 37


    2.

    - ( 9 - 8 x ) = 2 x / 9 + 1 / 3

    - 9 + 8 x = 2 x / 9 + 1 / 3 Add 9 to both sides

    - 9 + 8 x + 9 = 2 x / 9 + 1 / 3 + 9

    8 x = 2 x / 9 + 1 / 3 + 27 / 3

    8 x = 2 x / 9 + 28 / 3 Subtract 2 x / 9 to both sides

    8 x - 2 x / 9 = 2 x / 9 + 28 / 3 - 2 x / 9

    8 x - 2 x / 9 = 28 / 3

    72 x / 9 - 2 x / 9 = 28 / 3

    70 x / 9 = 28 / 3 Multiply both sides by 7

    70 x = 28 * 9 / 3

    70 x = 252 / 3

    70 x = 84 Divide both sides by 70

    x = 84 / 70

    x = 2 * 6 * 7 / ( 2 * 5 * 7 )

    x = 6 / 5


    The solutions are :

    x = 39 / 37

    and

    x = 6 / 5

  • algebra 2 -

    Were there any extraneous solutions?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    Solve the equation and check for extraneous solutions. 10^((x^2)+1)=100,000 How do i handle this when the exponents have exponents?
  2. Alg 2

    Solve the equation. Check for extraneous solutions. ln x + ln(x-2) = 1
  3. algebra

    Solve the equation check for extraneous solutions 9[9-8x]=2x+3 please explain
  4. algebra

    Show all steps solve the equation check for extraneous solution 9|9-8 x|=2x+3
  5. Algebra 2

    solve each equation. check for extraneous solutions. sqrt(2x+1)+sqrt(2x+6)=5 please show work!!!!!
  6. Algebra 2

    solve each equation. check for extraneous solution. sqrt(3x+4)-sqrt(2x-7)=3 please show work!!!!!
  7. Math

    1) Solve the equation for p. Identify any extraneous solutions. √p=-1 A) -1 is a solution of the original equation. 1 is an extraneous solution. B) 1 is a solution of the original equation. C) 1 is a solution of the original …
  8. algebra

    Using the equation below as a model, fill in numbers in the place of a and b to create a rational equation that has an extraneous solution. x+a/ax=b/x Part 1. Show all work to solve for x in the equation and check the solution. Part …
  9. Algebra

    Can somebody please help me with solving this and show steps if they can. Solve the equation. Check for extraneous solutions. 9|9-8X|=2X+3 For my answer I got X=-1 I divided by 9 on both sides I got 8X=2X-6 Then I divided by 6 on both …
  10. Math

    Evaluate the expression for the given value of the variable. Show your work. [-4b-8]+[-1-b^2]+2b^3;b=-2 Solve the equation. Check for extraneous solutions. 9[9-8x]=2x+3. Show your work. I really need help with both of these problems.

More Similar Questions