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Rajan@2021
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Solve for x and y: x-y=3, x/3+y/2=6

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This question is from linear equations in two variables in which we have been asked to find the value of x and y from the equations x-y=3, x/3+y/2=6

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 3B, question no 2

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  1. The given system of equations is  x – y = 3 …..(i)

    x/3 + y/2 = 6 ……(ii)

    From (i), write y in terms of x to get  y = x – 3

    Substituting y = x – 3 in (ii),

    we get  x/3 + x −3/ 2 = 6

    ⇒2x + 3(x – 3) = 36

    ⇒2x + 3x – 9 = 36

    ⇒x = 45/ 5 = 9

    Now, substituting x = 9 in (i),

    we have  9 – y = 3

    ⇒y = 9 – 3 = 6

    Hence, x = 9 and y = 6.

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