Answer
A system of linear equations, on fulfilling different conditions can have exactly one solution, many solutions, or infinitely many solutions.
Work Step by Step
Any equation of the form \[Ax+By=C\], where \[A,B,C\] are the constants and \[x,y\]are the variables is said to be a linear equation.This linear equation is a straight line on a graph when plotted for different values. So, the system of such equations is called as a system of linear equations. For example,
\[\begin{align}
& 3x+2y=8 \\
& 4x-8y=1 \\
\end{align}\]
The above equations show a system of linear equations which shows a straight line when plotted.
A system of linear equations, on fulfilling different conditions can have exactly one solution, many solutions, or infinitely many solutions.
