Question

How many solutions do a linear equation of two variables has?

• A. One.
• B. Finite number of solutions.
• C. Infinite number of solutions.
• D. None of the above.

Answer 1

The correct option is C Infinite number of solutions.

A linear equation of two variables is represented by a straight line.

For example, the graph of $3y-2x=6$ is a follows:

The value of $x$ satisfying the above equation lies between $-\infty$ to $+\infty .$

Hence, it has infinite values of $x$ and corresponding values of $y.$