7.8. Simultaneous equations with 3 unknowns + no solution

N7. Equations and inequalities

Question

Given the simultaneous equations

2xy = 11
5y – 2qx + 7 = 0

(a) Show that x = \frac{24}{5 - q} [2]

(b) State the value of q if there is no solution for the pair of simultaneous equations. [1]

Solution