Correct. Rewrite the second equation as its opposite: $\displaystyle-{4}{x}+{10}{y}=-{48}\usepackage{cmbright}\Huge\$

Add this equation to $\displaystyle{4}{x}-{3}{y}={34}\usepackage{cmbright}\Huge\$ to get: $\displaystyle{7}{y}=-{14}\usepackage{cmbright}\Huge\$

Solve for y to get $\displaystyle{y}=-{2}\usepackage{cmbright}\Huge\$ and substitute this into the first equation:

$\displaystyle{4}{x}-{3}{\left(-{2}\right)}={34}\usepackage{cmbright}\Huge\$ or $\displaystyle{4}{x}+{6}={34}\usepackage{cmbright}\Huge\$ , so $\displaystyle{4}{x}={28}\usepackage{cmbright}\Huge\$ and $\displaystyle{x}={7}\usepackage{cmbright}\Huge\$