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≠13x = \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=31
Show 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.
Practise Edexcel A Level Maths 8.1 Parametric Equations with exam-style questions for A Level Maths. 20 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.