Substitute $\displaystyle{x}={5}\usepackage{cmbright}\Huge\$ and $\displaystyle{y}={0}\usepackage{cmbright}\Huge\$ into each inequality and simplify:

$\displaystyle{3}{\left({5}\right)}-{0}\le{2}\usepackage{cmbright}\Huge\$ or $\displaystyle{15}\le{2}\usepackage{cmbright}\Huge\$ FALSE

$\displaystyle{0}>-{2}{\left({5}\right)}-{2}\usepackage{cmbright}\Huge\$ or $\displaystyle{0}>-{12}\usepackage{cmbright}\Huge\$ TRUE

For an ordered pair to be a solution of a system it must be a solution of both inequalities.