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16 March, 14:29

Which system of equations is equivalent to this system? 4 (x+y) = 2x+12 4x+y=x+8 A) 6x + 4y = 12

3x + y = 8

B) - 4x + 4y = 48

3x + y = 8

C) 4x + 4y = 48

3x + y = 8

D) 2x + 4y = 12

3x + y = 8

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  1. 16 March, 16:31
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    D) 2x + 4y = 12

    3x + y = 8

    Step-by-step explanation:

    4 (x+y) = 2x+12

    4x+y=x+8

    1 st equation

    4 (x+y) = 2x+12

    Distribute

    4x+4y = 2x+12

    Subtract 2x from each side

    4x-2x + 4y = 2x-2x+12

    2x + 4y = 12

    2nd equation

    4x+y=x+8

    Subtraction x from each side

    4x+y - x = x-x+8

    3x+y = 8
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