Question:

Solve each system of equations using any method.?

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x-2y=4

2x+2y=8

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  1. you do this by substitution

    you take the first equation and leave x alone on one side

    x=4+2y

    and put this in the place of x in the other equation

    2(4+2y)+2y=8

    8+4y+2y=8

    6y=0

    y=0/6=0

    and thus x=4+2(0)

    x=4

    hope this has helped:):)


  2. x-2y=4

    2x+2y=8

    x=4+2y

    2(4+2y)+2y=8

    8+4y+2y=8

    8+6y=8

    6y=0

    y=0

    x=4


  3. x-2y=4

    2x+2y=8

    --------------

        x-2y=4

    -  2x+2y=8

    -----------------

    -x= -4

    x=4

    by substitution

    x-2y=4

    4-2y=4

    2y=4-4

    2y=0

    y=0

  4. 1) x-2y=4

    x = 2y + 4

    2) 2x+2y=8

    2(2y + 4) + 2y = 8 {substitute for x from equation 1}

    4y + 8 + 2y = 8

    6y = 0

    1) x = 2(0) + 4

    x = 4

    check

    2) 2(4) + 2(0) = 4

    4 = 4


  5. x =4, y=0

    x= 4+2y

    2(4+2y) +2Y = 8

    y=0

    x-2(0)=4

    x=4

  6. x - 2y = 4, 2x + 2y = 8

    I'll solve through the Addition method:

    (x - 2y = 4) + (2x + 2y = 8) = (3x = 12)

    3x = 12

    x = 4

    x - 2y = 4

    4 - 2y = 4

    -2y = 0

    y = 0

    ANSWER: x = 4, y = 0; point (4, 0) when graphed

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