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Rajan@2021
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Write the number of solutions of the following pair of linear equations: x+3y-4=0, 2x+6y-7=0

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This is the basic and exam oriented question from linear equations in two variables in which we have given two equations x+3y-4=0, 2x+6y-7=0 and we have to calculate the number of solutions of given equations

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

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  1. x+3y−4=0 and 2x+6y−7=0
    These given equations are in the form:
    a1​x+b1​y+c1​=0 and
    a2​x+b2​y+c2​=0

    Where
    a1​=1, b1​=3 and c1​=−4
    a2​=2, b2​=6 and c2​=−7

    ​a1​​/a2=1/2​, b1/​b2​​=3/6​=1/2​, c1/​c2​​=−4/−7=4/7​

    a1/a2=b1/​b2​​≠c1/c2​​

    System has no solution.

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