Question

The linear equation $2x-5y=7$ has,

• A. A unique solution
• B. Two solutions
• C. Infinitely many solutions
• D. No solution

Answer 1

The correct option is C

Infinitely many solutions

The explanation for the correct option.

$2x-5y=7$ is a single equation involving two variables.
In a single equation involving two variables, for any value of $x$, there is a corresponding value for $y$ and vice-versa.
$\therefore 2x-5y=7$ has an infinite number of solutions.

Hence, the option $C$ is correct.