Solving a system and ending up with the equations $\displaystyle{x}={1}\usepackage{cmbright}\Huge\$ and $\displaystyle{y}={0}\usepackage{cmbright}\Huge\$ means that the solution is $\displaystyle{\left({1},{0}\right)}\usepackage{cmbright}\Huge\$ . This is very different from ending up with the equation $\displaystyle{1}={0}\usepackage{cmbright}\Huge\$ . When a system leads to an equation such as $\displaystyle{1}={0}\usepackage{cmbright}\Huge\$ , the system does not have any solutions.