Question

Linear equation in one variable has ________ number of solution/s.

(a) one

(b) one and only one

(c) two

(d) infinite

This question was addressed to me in an international level competition.

The query is from Applications of Linear Equation (Just Solving the Equations) in portion Linear Equations in One Variable of Mathematics – Class 8

Answer 1

Correct answer is (b) one and only one

Explanation: The number of solution of any equation depends on the degree of the equation (degree is the highest power of the equation. Example x^2+x-2=0 here the degree of the equation is 2 as the highest power in this equation is 2). Since the linear equation in one variable has it’s degree as 1 always, therefore the answer would be ‘one and only one solution’. The option ‘one’ is not accurate and hence one should select ‘one and only one’.