Question

How many solutions a linear equation in two variables have?

• A. 2
• B. 0
• C. Infinitely many
• D. 1

Answer 1

The correct option is C Infinitely many

The standard form of a linear equation in two variables is $ax+by+c=0$, where a, b, c are real numbers such that $a\ne 0$ and $b\ne 0$.
All (x, y) that satisfies the linear equation are its solutions. Therefore, there exists infinitely many solutions for a linear equation in two variables.
Hence, the correct answer is option (c).