Correct. Substitute $\displaystyle{4}{y}-{9}\usepackage{cmbright}\Huge\$ for x in the second equation: $\displaystyle{8}{\left({4}{y}-{9}\right)}-{3}{y}=-{43}\usepackage{cmbright}\Huge\$

Simplify: $\displaystyle{32}{y}-{72}-{3}{y}=-{43}\usepackage{cmbright}\Huge\$ or $\displaystyle{29}{y}-{72}=-{43}\usepackage{cmbright}\Huge\$

Solve for y: $\displaystyle{29}{y}={29}\usepackage{cmbright}\Huge\$ , $\displaystyle{y}={1}\usepackage{cmbright}\Huge\$

Substitute this value for y back into the first equation: $\displaystyle{x}={4}{\left({1}\right)}-{9}=-{5}\usepackage{cmbright}\Huge\$