These equations can be rewritten as $\displaystyle{y}=-{x}+{10}\usepackage{cmbright}\Huge\$ and $\displaystyle{y}={x}+{4}\usepackage{cmbright}\Huge\$ , and are shown in the graph. Their point of intersection is $\displaystyle{\left({3},{7}\right)}\usepackage{cmbright}\Huge\$ . This is the solution to the system because the values $\displaystyle{x}={3}\usepackage{cmbright}\Huge\$ and $\displaystyle{y}={7}\usepackage{cmbright}\Huge\$ make both equations true: $\displaystyle{3}+{7}={10}\usepackage{cmbright}\Huge\$ and $\displaystyle{3}-{7}=-{4}\usepackage{cmbright}\Huge\$ .