Write each of the following as an equation in two variables:
(i) x = – 5 (ii) y = 2
(iii) 2x = 3 (iv) 5y = 2.
Which one of the following options is true, and why?
y = 3x + 5 has
(i) a unique solution,
(ii) only two solutions,
(iii) infinitely many solutions.
The true option is (iii) y = 3x + 5 has infinitely many solutions.
Reason. For every value of x, there is a corresponding value of y and vice-versa.