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20 February, 16:53

12x+5y==13

-24x-5y=-11

-2x+4y=32

-5x-10y=-20

12x+12y=36

-8x-8y=-8

solve and explain

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Answers (2)
  1. 20 February, 18:53
    0
    12x+5y=13 is y=13/5-12/5x

    -24y-5y=-11 is y=-11/-5 + (24/-5) x

    -2x+4y=32 is y=32/4+2/4x

    -5x-10y=-20 is y = - 20/-10 + (5/-10) x

    12x+12y=36 is y=36/12-12/12x

    -8x-8y=-8 is y=-8/-8 + (8/-8) x
  2. 20 February, 20:49
    0
    1. 12x + 5y = 13

    -24x - 5y = - 11

    First Add these equations to cancel out the y value so we can find the x value.

    (12x + 5y = 13) + (-24x - 5y = - 11)

    = - 12x + 0y = 2

    Now we are left with the equation - 12x = 2

    Next divide both sides by - 12 and x = - 1/6

    Now plug x into any of the original two equations to find the y-value.

    12 (-1/6) + 5y = 13

    -2 + 5y = 13

    5y = 15

    y = 3

    or

    -24 (-1/6) - 5y = - 11

    4 - 5y = - 11

    -5y = - 15

    y = 3

    Sp, x = - 1/6 and y = 3

    2.-2x + 4y = 32

    -5x - 10y = - 20

    First, lets simplify both of the equations.

    (-2x + 4y = 32) / - 2 = x - 2y = - 16

    (-5x - 10y = - 20) / - 5 = x + 2y = 4

    Now we have the two equations:

    x - 2y = - 16

    x + 2y = 4

    Subtract the equations from each other to cancel out the 'x'.

    (x - 2y = - 16) - (x + 2y = 4)

    = - 4y = - 20

    -4y = - 20

    Divide by - 4

    y = 5

    Now plug 5 in for y in the equations:

    x - 2y = - 16

    x + 2y = 4

    x - 10 = - 16

    x = - 6

    x + 10 = 4

    x = - 6

    So, y = 5, and x = - 6

    3. 12x + 12y = 36

    -8x - 8y = - 8

    Lets also simplify the equations.

    (12x + 12y = 36) / 12 = x + y = 3

    (-8x - 8y = - 8) / - 8 = x - y = 1

    Right off the bat you can say that x = 2 and y = 1.

    2 + 1 = 3

    2 - 1 = 1

    But mathematically:

    Subtract both equations

    (x + y = 3) - (x - y = 1)

    = 2y = 2

    2y = 2

    y = 1

    x + 1 = 3

    x = 2

    x - 1 = 1

    x = 2

    So x = 2 and y = 1;
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