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Activity Discussion Math Linear Equation Reply To: Linear Equation

  • Princy

    Member
    June 23, 2023 at 12:12 am
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    Given equations are <div>

    2x+3y=9 … eq (1) and

    x-y=3 …eq(2)

    To solve by elimination method, we need to make coefficient of x in both the equations equal or coefficient of y in both the equations should be equal.

    Suppose, we want to make the coefficient of y equal in both the equations.

    We can do it by multiplying equation 2 with 3.

    On multiplying eq 2 by 3, we get,

    3x – 3y = 9 …eq (3)

    Now, adding eq(1) and (3), we get,

    2x + 3y = 9

    3x – 3y = 9

    We get,

    5x = 18

    x = 18/5

    Now, x-y=3

    18/5 -y = 3

    y = 18/5 – 3

    = (18 – 15)/5

    = 3/5

    Therefore, x = 18/5 and y = 3/5


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