The graphs of these two equations are lines that intersect at the point (4, 0). This is a solution of the system, so 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\$ .