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14 February, 09:46

7x+2y=-19 - x+2y=21 i need the substitution

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  1. 14 February, 13:05
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    7x + 2y = 19

    -x + 2y = 21

    7x + 2y = 19

    Subtract 2y from both sides

    7x = 19 - 2y

    Divide both sides by 7

    x = (-2/7) y - (19/7)

    x + 2y = 21

    Substitute x for (-2/7) y - (19/7)

    (-2/7) y - (19/7) + 2y = 21

    Combine like terms

    (12/7) y - (19/7) = 21

    Add (19/7) to both sides

    (12/7) y = (166/7)

    Multiply both sides by (12/7)

    y = (83/6)

    x + 2y = 21

    Substitute y for (83/6)

    x + 2 (83/6) = 21

    Multiply 2 by (83/6)

    x + (83/3) = 21

    Subtract (83/3) from both sides

    x = (-20/3)

    x = (-20/3)

    y = (83/6)
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