Question:

Solve for x. 5x+1=9?

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Hi i really need help

A.5x+1=9

B.3(x-2)=5x

C.-2(x+1) -3 (x-4)=5

D.4(x-2)= -5 (x+1)

E.(x+2) (x-1) = 0

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  1. A. 5x = 9-1

        5x = 8

        x = 8/5

    B. 3(x-2) = 5x

        3x-6 = 5x

        3x - 5x = 6

        -2x = 6

        x = -3

    C. -2(x+1) - 3(x-4) = 5

        -2x - 2 - 3x + 12 = 5

        -2x - 3x = 5+2-12

        -5x = -5

        x = 1

    D. 4(x-2)= -5 (x+1)

        4x - 8 = -5x - 5

        4x + 5x = 8- 5

        9x = 3

        x = 3/9

        x = 1/3

    E. (x+2) (x-1) = 0

         x^2 - x +2x -2 =0

         x^2 + x - 2 = 0

         (x+2)(x-1) = 0

          x = -2

      or  x = 1


  2. a) x = 8/5

    b) x = -3

    c) x = -3/5

    d) x = 1/3

    e) x = 1 or -2

  3. A. x = 1.6

    C. x = 9 [ according to (x-4)= 5 ]


  4. A. 5x+1=9

        5x=9-1

        5x=8 then divide both sides by 5

        x= 8/5

    B. 3(x-2)=5x

        3x-6=5x

        6=5x-2x

        6=3x divide both sides by 3

        2=x

    C. -2(x+1)-3(x-4)=5

        -2x-2-3x+12=5 then combine the x's and the numbers

         x+10=5

         x=5-10

         x=-5

    D. 4(x-2)=-5(x+1)

        4x-8=-5x-5

        4x+5x=-5+8

        x=3

    E. (x+2) (x-1) = 0

        x squared +2x -2

      not sure on this one.

        


  5. I will show you step by step for A and D.

    5x + 1 = 9

    we want the variables on one side of the equal sign and the numbers on ther other side.

    subtract 1 from both sides

    5x + 1 - 1 = 9 - 1

    5x = 8

    next divide both sides by 5

    5x/5 = 8/5

    x = 8/5

    --------------------------------------...

    4(x-2) = -5(x+1)

    using distributive property, multiply out each side

    4x - 8 = -5x - 5

    arrange the variables on one side and the numbers on the other side

    first add 8 to both sides

    4x - 8 + 8 = -5x - 5 + 8

    4x = -5x + 3

    next add 5x to both sides

    4x + 5x = -5x + 3 + 5x

    9x = 3

    divide both sides by 9

    9x/9 = 3/9

    x = 3/9

    x = 1/3

    You should now be able to figure out the rest.

  6. A.x= 5/8

    B.x=-3

    C.x=1

    D.x=1/3

    E.x=-2, 1

  7. a.

    5x /8

    b  

    3x / -1

    c 2x + 3     -3x -12= 5

    d 4x -8   -5x -4

    e 2x +x-1 2x -2

    well I'm not sure

  8. A) 5x+1=9

    Subtract one from both sides

        5x=8

    Divide 8 by 5

        x=1.6

    B) 3(x-2)=5x

    Distribute the 3

        3x-6=5x

    Subtract 3x from both sides

        -6=2x

    Divide by 2

        -3=x

    C)-2(x+1)-3(x-4)=5

    Distribute

        -2x-2-3x+12=5

    Simplify

        -5x+10=5

    Subtract 10 from both sides

        -5x=-5

    Simplify

         x=1

    D) 4(x-2)=5(x+1)

    Distribute

        4x-8 = 5x+5

    Add 8 to both sides

         4x=5x+13

    Subtract 5x from both sides

         -x=13

    Simplify

         x= -13

    E) (x+2)(x+1) = 0

    Use the Zero Product Property (If the product of two variables is zero, then one or both of the variables must be zero.)

         x=-2, x=-1

    Hope this helps!!

  9. i  really not sure. just a guess ------

    A. 5x+1=9

        5x=9-1

        5x=8

         x =8/5 or 1.6

    B. 3(x-2)=5x

        3x-6=5x

        3x+5x=6

        8x=6

        x=6/8 or 3/4

    C. -2(x+1) -3(x-4)=5

        -2x-2-3x+12=5

        -5x+10=5

         10-5=5x

          5=5x

          1=x  or x=1

    D. 4(x-2)=-5(x+1)

        4x-8=-5x-5

        4x+5x=8-5

        9x=3

        x=3/9 or 1/3

    the last one is just a complete wild guess

    E. (x+2)(x+1)

        x2-1x+2x-2=0

        

        x=x2+2    (x2 is x squared)
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