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Rajan@2021
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Solve the following systems of equations by using the method of cross multiplication: 2x+5y=1, 2x+3y=3

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Sir please give me a detailed solution of this question as it is already asked in various examinations in which we have given two equations 2x+5y=1, 2x+3y=3 and we have to find the value of variables x and y from the above equations by using the method of cross multiplication

RS Aggarwal, Class 10, chapter 3C, question no 5

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1 Answer

  1. 2x+5y−1=0...(1)
    2x+3y−3=0....(2)

    From equation (1):a1​=2, b1​=5 and c1​=−1
    From equation (2):a2​=2, b2​=3 and c2​=−3

    Using cross multiplication method.
    x/(−15+3​)=y(−2+6)=1/(6−10)​

    x/−12=y/4​=1/−4​

    x/12=1/−4​⇒x=−12/-4​=3

    y/4​=1/−4​⇒x=4/-4​=−1
    Answer x=3 and y=−1

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