You may have made a mistake with a sign. Remember that a negative times a positive is negative.

$\displaystyle{5}{\left(-{3}\right)}+{2}{\left(-{2}\right)}=-{19}\usepackage{cmbright}\Huge\$ or $\displaystyle-{15}+{\left(-{4}\right)}=-{19}\usepackage{cmbright}\Huge\$ or $\displaystyle-{19}=-{19}\usepackage{cmbright}\Huge\$

The statement is true, so the ordered pair $\displaystyle{\left(-{3},-{2}\right)}\usepackage{cmbright}\Huge\$ is a solution to the equation.