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Rajan@2021
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Solve for x and y: 6x+5y=7x+3y+1=2(x+6y-1)

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I came across a difficult question from linear equations in two variables in which we have been asked to find the value of variables x and y from the equation 6x+5y=7x+3y+1=2(x+6y-1)

Kindly solve this question

RS Aggarwal, Class 10, chapter 3B, question no 16

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  1. 6x+5y=7x+3y+1=2(x+6y1)
    6x+5y=7x+3y+1
    6x+5y7x3y=1
    x+2y=1
    2yx=1
    Again 7x+3y+1=2(x+6y1)
    7x+3y+1=2x+12y2
    7x+3y2x12y=21
    5x9y=3
    New set of equations is:
    2yx=1...(1)
    5x9y=3...(2)
    Using substitute method:
    From (1),x=2y1
    Substitute the value of x in (2).
    5(2y1)9y=3
    10y59y=3
    y=3+5
    y=2
    And x=2y1=2(2)1=3
    Answer: x=3,y=2

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