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Rajan@2021
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Solve for x and y: 4x-3y=8, 6x-y=29/3

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One of the most important and conceptual question from linear equations in two variables in which we have given two equations 4x-3y=8, 6x-y=29/3 and we have been asked to find x and y in the above equations

Kindly solve these equations

RS Aggarwal, Class 10, chapter 3B, question no 9

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1 Answer

  1. The given system of equation is:

    4x – 3y = 8 ……(i)

    6x – y = 29/ 3 ……(ii)

    On multiplying (ii) by 3, we get:  18x – 3y = 29 ….(iii)

    On subtracting (iii) from (i) we get:  -14x = -21

    x = 21/14

    = 3/2

    Now, substituting the value of x = 3/2 in (i), we get:

    4 × 3/2 – 3y = 8

    ⇒6 – 3y = 8

    ⇒3y = 6 – 8 = -2

    y = −2/ 3

    Hence, the solution x = 3/2 and y = −2/3

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