math

solve using substitution:

4x+9y=24
y=1/3x+2

asked by Taylor
  1. y = ( 1 / 3 ) x + 2


    4 x + 9 y = 24

    4 x + 9 [ ( 1 / 3 ) x + 2 ] = 24

    4 x + ( 9 / 3 ) x + 18 = 24

    4 x + 3 x + 18 = 24

    7 x + 18 = 24 Subtract 18 to both sides

    7 x - 18 = 24 - 18

    7 x = 6 Divide both sides by 7

    x = 6 / 7


    y = ( 1 / 3 ) x + 2

    y = ( 1 / 3 ) 6 / 7 + 2

    y = 1 * 6 / ( 3 * 7 ) + 2

    y = 6 / 21 + 2

    y = 6 / 21 + 42 / 21

    y = 48 / 21

    y = 3 * 16 / ( 3 * 7 )

    y = 16 / 7






    posted by Bosnian
  2. You posted the same question 3 times within about 20 minutes, causing an unnecessary duplication in a solution.
    Have patience.

    posted by Reiny

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