Question

A linear equation in two variables ___.

• A. has no solution
• B. has one solution
• C. has two solutions
• D. has infinitely many solutions

Answer 1

The correct option is D has infinitely many solutions

A linear equation in two variables is of the form $ax+by+c=0.$
$\Rightarrow x=\frac{-c-by}{a}$
For every unique value of y, we get a unique value of x satisfying the above equation.

Therefore, a linear equation in two variables can have infinitely many solutions.