Math

How do I solve 4|8x-2|=8?
And also 6w-1 over 5 -3w= 12w-16 over 15?

  1. 👍 0
  2. 👎 0
  3. 👁 221
  1. 4 | 8 x - 2 | = 8

    Divide both sides by 4

    | 8 x - 2 | = 2

    ± ( 8 x - 2 ) = 2

    1.

    8 x - 2 = 2

    Add 2 to both sides

    8 x - 2 + 2 = 2 + 2

    8 x = 4

    Divide both sides by 8

    x = 4 / 8 = 1 / 2

    2.

    - ( 8 x - 2 ) = 2

    - 8 x + 2 = 2

    Subtract 2 to both sides

    - 8 x + 2 - 2 = 2 - 2

    - 8 x = 0

    x = 0

    4 | 8 x - 2 | = 8

    The solutions are:

    x = 0 and x = 1 / 2

    If 6w-1 over 5 -3w= 12w-16 over 15 mean:

    6 w - 1 / 5 - 3 w = 12 w - 16 / 15

    then:

    3 w - 1 / 5 = 12 w - 16 / 15

    Subtract 3 w to both sides

    3 w - 1 / 5 - 3 w = 12 w - 16 / 15 - 3 w

    - 1 / 5 = 9 w -16 / 15

    Add 16 / 15 to both sides

    - 1 / 5 + 16 / 15 = 9 w -16 / 15 + 16 / 15

    - 1 / 5 + 16 / 15 = 9 w

    - 3 / 15 + 16 / 15 = 9 w

    13 / 15 = 9 w

    Dividey both sides by 9

    ( 13 / 15 ) / 9 = w

    13 / 15 * 9 = w

    13 / 135 = w

    w = 13 / 135

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math check please

    1. Solve the system of equations y=2x^2-3 y=3x-1 a)no solution b)(-1/2,5),(2,-5/2) c)(-1/2,-5/2),(2,5)**** d)(1/2,5/2),(2,5) 2. How many real number solutions are there to the equation 0=-3x^2+x-4? a)0 ***** b)1 c)2 d)3 3.solve

  2. Math help please

    1. Solve for x. 4(x - b) = x b = 4/3x b = 3/4x x = 4/3b x = 3/4b 2. Solve for y, then find the value of y when given x = 2. 6x = 7 - 4y -12 7/4 19/4 24 I need help solving these. Can you please explain how to solve these problems?

  3. How do I do this.?(Math.)

    Use the Substitution method to solve the system of equations. y - 2x = -5 3y - x = 5 Solve one of the equations for x or y. Let's solve the first one for y: y - 2x = -5 y = 2x - 5 Now let's substitute 2x - 5 for y in the second

  4. algebra

    solve for the indicated variable: a. temperature formula solve for F: K=5/9(F-32)+273 b. annual interest rate solve for R: A=P+Prt

  1. Math

    1. Solve the equation. -6g = 42 a. g = 7 b. g = -7 c. g = 252 d. g = -252 2. Solve the equation. x/8 = 16 a. x = 128 b. x = 24 c. x = 8 d. x = 2 3. Solve the equation. 12m = 14.4 a. m = 120 b. m = 12 c. m = 1.2 d. m = 0.12 4.

  2. algebra

    1. solve 2x + y = 7 for y 2. solve 2y - 18x = 26 for y 3. solve 20x + 5y =15 for y 4. solve 9x - y = 45 for y 5. solve 6x - 3y = -6 for y 6. solve 4x - 5 = 7 + 4y for y

  3. Algebra

    Ok, I am horrible at math so I am going to need someone's help..... 1. Solve. |x+3|

  4. Algebra

    To solve the system of equations, which expression could be substituted for x into the first equation? 3x-5y=14 x+4y=10 a)10-4y b)4y+10 c)(1/4)x+(5/2) d)(-1/4)x+(5/2) I have another problem just like this one so if you could

  1. ALGEBRA 1!PLZ HELP!

    Use the Substitution method to solve the system of equations. y - 2x = -5 3y - x = 5 Solve the first equation for y. y = 2x-5 Substitute that for y in the second equation and solve for x. Then use the value of x to substitute back

  2. math

    solve gauss jordan elimination 6w-2x-4y+2z=2 3w-3x-6y+z=-4 -12w+8x+21y-8z=8 -6w-10y+7z=43

  3. Algebra 2(check) cont..

    1)solve the inequality -3(r-11)+15>_9 my answer = r

  4. Algebra Combining like terms

    It is a multiple choice test. I have placed my after the question. I am not asking anyone to do it for me I simply would like someone to check my answers and maybe if their nice tell me what went wrong on the ones i get wrong.

You can view more similar questions or ask a new question.