(a)[2]
Solve $6x - 7 > 5 - 2x$.
(b)[4]
Chen purchases 4 notebooks and 3 pens for $17.50. Liu purchases 2 notebooks and 5 pens for $14. Form a pair of simultaneous equations and solve them to determine the cost of a notebook and the cost of a pen. Show your working.
(c(i))[3]
Show that $\frac{x}{x+2} - \frac{3}{x-5} = 4$ can be rewritten as $3x^2 - 4x - 34 = 0$.
(c(ii))[3]
Solve the equation $3x^2 - 4x - 34 = 0$. Show your working and express your answers correct to 2 decimal places.