Question

What is a unique solution in a linear equation?

Answer 1

Linear equation: An equation in which the highest power of the variable is one is known as a linear equation.

Unique solution:

A unique solution means only one solution.

If a linear equation has a unique solution means only one solution set exists for the equation.

A system of linear equations $\left\{\begin{array}{l}{a}_{1}x+b_{1}y=0\\ a_{2}x+b_{2}y=0\end{array}\right.$has a unique solution, if $\frac{a_1}{a_2}\ne \frac{b_1}{b_2}$.