The line $\displaystyle{2}{y}+{x}=-{5}\usepackage{cmbright}\Huge\$ goes through $\displaystyle{\left(-{5},{0}\right)}\usepackage{cmbright}\Huge\$ and $\displaystyle{\left({1},-{3}\right)}\usepackage{cmbright}\Huge\$ . The line $\displaystyle{y}-{3}{x}=-{6}\usepackage{cmbright}\Huge\$ goes through $\displaystyle{\left({2},{0}\right)}\usepackage{cmbright}\Huge\$ and $\displaystyle{\left({1},-{3}\right)}\usepackage{cmbright}\Huge\$ . These are the lines shown. The point of intersection shown is $\displaystyle{\left({1},-{3}\right)}\usepackage{cmbright}\Huge\$ , which is the solution of the system.