These two equations have the same graph. This means that every point on this line is a solution to the system. If a system has an infinite number of solutions, then it is consistent. A system is inconsistent if there is no solution. The correct answer is $\displaystyle{2}{x}+{y}={8}\usepackage{cmbright}\Huge\$ and $\displaystyle{2}{x}+{y}={10}\usepackage{cmbright}\Huge\$ .