A set of points P(x,y)P(x, y)P(x,y) is defined by the parametric equations
x=t+23t−1,y=103t−1,t≠13 x = \frac{t + 2}{3t - 1}, \quad y = \frac{10}{3t - 1}, \quad t \neq \frac{1}{3} x=3t−1t+2,y=3t−110,t=31Show that all points P(x,y)P(x, y)P(x,y) lie on a straight line.
Hence or otherwise, find the x x\,x coordinate of the point of intersection of this line and the line with equation y=2x+11y = 2x + 11y=2x+11.
