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

Math 
Steve,
y/x = a/(xb)
the given line has equation (slopeintercept)
y = 2 + 3(y/x)
xy = 2x + 3y
y = 2x/(x3)
so, a=2 b=3
if x=y, y = 2+3 = 5
check: 5 = 2*5/(53)