Substitute the values for x and y from the ordered pair into the equation:

$\displaystyle-{3}{\left(-{4}\right)}={4}{\left(-{3}\right)}\usepackage{cmbright}\Huge\$

Simplify: $\displaystyle{12}=-{12}\usepackage{cmbright}\Huge\$

Since the statement is not true, the ordered pair $\displaystyle{\left(-{4},-{3}\right)}\usepackage{cmbright}\Huge\$ is not a solution to the equation.