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AnilSinghBora
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Solve the following pair of linear equations by the elimination method and the substitution method:(iv) x/2+ 2y/3 = -1 and x-y/3 = 3 Q.1(4)

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The important chapter of class 10th Pair of linear equations in two variables how i solve the question by both method Solve the following pair of linear equations by the elimination method and the substitution method:(iv) x/2+ 2y/3 = -1 and x-y/3 = 3

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  1. By the method of Elimination.

    3x + 4y = -6 …………………………. (i)

    x-y/3 = 3

    3x – y = 9 ……………………………. (ii)

    When the equation (ii) is subtracted from equation (i) we get,

    -5y = -15

    y = 3 ………………………………….(iii)

    When the equation (iii) is substituted in (i) we get,

    3x – 12 = -6

    3x = 6

    x = 2

    Hence, x = 2 , y = -3

    By the method of Substitution:

    From the equation (ii) we get,

    x = (y+9)/3…………………………………(v)

    Putting the value obtained from equation (v) in equation (i) we get,

    3(y+9)/3 +4y =−6

    5y = -15

    y = -3

    When y = -3 is substituted in equation (v) we get,

    x = (-3+9)/3 = 2

    Therefore, x = 2 and y = -3

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