Question

The linear equation 3x - 5y = 15 has

(a) a unique solution

(b) two solutions

(c) infinitely many solutions

(d) no solution

Answer 1

(c) infinitely many solutions
Given linear equation: 3x - 5y = 15
Or, x = (5y + 15)/3
When y = 0, x = 15/3 = 5.
When y = 3, x = 30/3 = 10.
When y = -3, x = 0/3 = 0.