Question

What do you mean by unique solution in linear equations?

Answer 1

Define unique solution in linear equations.

A unique solution to a set of linear equations exist, when

• If we have two lines with equations $ax+by+c=0\mathrm{and}px+qy+r=0$. Then, it will have a unique solution if we have only one pair of $(x,y)$ which satisfy both equations of the line after substitution.
• From the graphical method, if the graphs of linear equations intersect at only one point. Then, the given set has a unique solution.