Math

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The variables x and y are related by the equation y=ax/(x-b),where a and b are constants .When y is plotted against y/x ,a straight line is obtained .The line has gradient 3 and y-intercept 2.
(i)Find the values of a and b
(ii)Find the values of x which x=y

  • Math -

    y/x = a/(x-b)

    the given line has equation (slope-intercept)

    y = 2 + 3(y/x)
    xy = 2x + 3y
    y = 2x/(x-3)
    so, a=2 b=3

    if x=y, y = 2+3 = 5
    check: 5 = 2*5/(5-3)

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