x +1 /y+1 = 4/5 & x-5 / y-5 = 1/2 solve this by elimination method.​

x +1 /y+1 = 4/5 & x-5 / y-5 = 1/2 solve this by elimination method.​

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    (i) x + y =5 and 2x –3y = 4

    By elimination method

    x + y =5 … (i)

    2x –3y = 4 … (ii)

    Multiplying equation (i) by (ii), we get

    2x + 2y = 10 … (iii)

    2x –3y = 4 … (ii)

    Subtracting equation (ii) from equation (iii), we get

    5y = 6

    y = 6/5

    Putting the value in equation (i), we get

    x = 5 – (6/5) = 19/5

    Hence, x = 19/5 and y = 6/5

    By substitution methodx + y = 5 … (i)

    Subtracting y both side, we get

    x = 5 – y … (iv)

    Putting the value of x in equation (ii) we get

    2(5 – y) – 3y = 4

    -5y = – 6

    y = -6/-5 = 6/5

    Putting the value of y in equation (iv) we get

    x = 5 – 6/5

    x = 19/5

    Hence, x = 19/5 and y = 6/5 again

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