Question

The pair of linear equations 3x + 2y = 5; 2x − 3y = 7 have

(a) One solution

(b) Two solutions

(c) Many solutions

(d) No solution

Answer 1

The two equations are

3x + 2y = 5 …… (1)

2x − 3y = 7 …… (2)

Here,

Therefore, they will intersect each other at a unique point and thus, there will be a unique solution for these equations. That is, there is only one solution.

Hence the correct option is