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20 February, 04:47

Find all the solutions of the given system of equations. 3x-4y=2 9x-12y=6

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Answers (1)
  1. 20 February, 05:07
    0
    I will try to solve your system of equations.

    3

    x

    -

    4

    y

    =

    2

    ;

    9

    x

    -

    12

    y

    =

    6

    Step: Solve

    3

    x

    -

    4

    y

    =

    2

    for x:

    3

    x

    -

    4

    y

    +

    4

    y

    =

    2

    +

    4

    y

    (Add 4y to both sides)

    3

    x

    =

    4

    y

    +

    2

    3

    x

    3

    =

    4

    y

    +

    2

    3

    (Divide both sides by 3)

    x

    =

    4

    3

    y

    +

    2

    3

    Step: Substitute

    4

    3

    y

    +

    2

    3

    for

    x

    in

    9

    x

    -

    12

    y

    =

    6

    :

    9

    x

    -

    12

    y

    =

    6

    9

    (

    4

    3

    y

    +

    2

    3

    )

    -

    12

    y

    =

    6

    6

    =

    6

    (Simplify both sides of the equation)

    6

    +

    -

    6

    =

    6

    +

    -

    6

    (Add - 6 to both sides)

    0

    =

    0

    Answer:

    Infinitely many solutions.
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