Question:

Help in solving for x in equations?

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Hey everyone, i've been up all night and i need to get these questions done in two days. I need help solving for x in these equations. This seems to have slipped my mind as of i didn't have the greatest math teacher. Help would be greatly appreciated and this is all i need left on my math packet.

1) -4y-(5y+6)=-7y+3

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

3) 5(y-2) =-2(12-9y)+y

4) 4x+2x+24+180

5) (3x+5)+ (x+1) = 180

6) 5(x-2) - 14x = -3x - (5-4x)

(These next problems are fractions)

7) x/8 = 4/9

8) x/3= x+1/4

9) x/32 = 2/x

Help for any of these problems is greatly appreciated.

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9 ANSWERS


  1. 1) 5

    2) 9

    3) 4

    5) 2

    6) 8

    7) 4

    8) 5

    9) 2


  2. We are not you personal calculators. Go elsewhere if you feel the need to cheat on your algebra homework.

  3. 1) -4y - 5y - 6 = -7y + 3

        -4y - 5y + 7y = 3 + 6

        -2y = 9

        y = -4.5   (or -9/2)

    2) 4 - 4x + 3x = -2x -2

        -4x + 3x + 2x = -2 - 4

        x = -6

    3) 5y - 10 = -24 + 18y + y

        -12y = -14

        y = 14/12

    5) 3x + 5 + x + 1 = 180

        4x = 174

        x = 43.5     (or 87/2)

    6) 5x - 10 - 14x = -3x - 5 + 4x

        -10x = 5

        x = -0.5      (or -1/2)

    7) x/8 * 8/1 = 4/9 * 8/1

        x = 32/9

    9) x/32  * 32/1 = 2/x * 32/1

        x = 64/x

        x * x/1 = 64/x * x/1

        2x = 64

        x = 32

  4. 1)

    -4y=7y+3+5y+6

    -4y-12y=9

    -16y=9

    y= -9/16

    are you sure you wrote no.1 down properly?

    2)

    4-4x+3x= -2x-2

    4-x=-2x-2

    4+x=-2

    x=-6

    3)

    5y-10=-24+18y+y

    14=14y

    y=1

    7)

    x= 32/9

    8)

    x=3(x+1/4)

    x=3x+3/4

    -2x=3/4

    x= -3/8

    9)

    (x.x)/32=2

    x.x=64

    x=8

    thats the last time i help some lazy kid with homework

  5. For the first 6 equations, expand the equations and collect all the x (or y) terms on the left side of the "=" sign and all the number values on the right, having a care to change sign as you cross the "=". Add up the x coefficients and then divide that into the sum of the number values. Example;

    (3) 5(y-2) =-2(12-9y)+y

    5y - 10 = -24 +18y +y

    -14y = -14



    y= 1

    For equations (7)-(9), multiply across by the least common denominator and proceed as above. Example:

    8) x/3= x+1/4.........LCD is 12

    4x = 12x + 3

    -8x = 3

    x = -3/8

    I'm sure you can do them correctly.

  6. 1)

    -4y - (5y + 6) = -7y + 3

    -4y - 5y - 6 = -7y + 3

    -9y + 7y = 6 + 3

    -2y = 9

    y = 9/-2

    y = -9/2 (-4.5)

    2)

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

    4*1 - 4*x + 3x = -2*x - 2*1

    4 - 4x + 3x = -2x - 2

    4 - x = -2x - 2

    2x - x = -4 - 2

    x = -6

    3)

    5(y - 2) = -2(12 - 9y) + y

    5*y - 5*2 = -2*12 + 2*19y + y

    5y - 10 = -24 + 38y + y

    5y - 39y = -24 + 10

    -34y = -14

    y = -14/-34

    y = 7/17

    4)

    4x + 3x + 24 + 180

    = 7x + 204

    5)

    (3x + 5) + (x + 1) = 180

    3x + 5 + x + 1 = 180

    3x + x = 180 - 5 - 1

    4x = 174

    x = 174/4

    x = 87/2 (43.5)

    6)

    5(x - 2) - 14x = -3x - (5 - 4x)

    5*x - 5*2 - 14x = -3x - 5 + 4x

    5x - 10 - 14x = -3x + 4x - 5

    -9x - 10 = x - 5

    -9x - x = 10 - 5

    -10x = 5

    x = 5/-10

    x = -1/2 (-0.5)

    7)

    x/8 = 4/9

    x = 8(4/9)

    x = 32/9

    8)

    x/3 = (x + 1)/4

    x = 3(x + 1)/4

    4x = 3x + 3

    4x - 3x = 3

    x = 3

    9)

    x/32 = 2/x

    x = 32(2/x)

    x = 64/x

    x^2 = 64

    x = ±√64

    x = ±8


  7. 1) -4.5

    2) -6

    3) -1

    4) your equation seems to lack something

    5) 11.25

    6) -0.5

    7) 3.55

    8) -0.375

    9) 8

  8. 7. x/8 = 4/9

    x/8 x 8/1 = 4/9 x 8/1

    x = 32/9

    x = 3 5/9


  9. I guess i could help you out.

    1) - 4y - ( 5y + 6 ) = - 7y + 3

    - 4y - 5y - 6 = - 7y + 3

    2 y = - 9

    y = - 4.5

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

    4 - 4x + 3x = -2x - 2

    x = -6

    3) 5( y - 2 ) = -2 ( 12 - 9y ) + y

    5y - 10 = 18y - 24 + y

    14y = 14

    y = 1

    4) 4x + 2x + 24 = 180 ( i presume this is the correct one and you typed it out wrongly? )

    6x = 156

    x = 26

    5) ( 3x + 5 ) + ( x + 1 ) = 180

    4x + 6 = 180

    4x = 174

    x = 43.5

    6) 5 ( x - 2 ) - 14x = -3x - ( 5 - 4x )

    5x - 10 - 14x = -3x - 5 + 4x

    10 x = -5

    x = - 0.5

    7) x / 8 = 4 / 9

    bringing 8 over,

    x = 32 / 9

    8) x / 3 = x + 1/4

    bringing 3 over,

    x = 3x + 3/4

    2x = -3/4

    x = -3/8

    9) x / 32 = 2 / x

    multiplying by x,

    x² / 32 = 2

    x² = 64

    x = ±8

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