Correct. Multiply the first equation by 5 and the second equation by 2:

$\displaystyle{35}{x}-{10}{y}=-{155}\usepackage{cmbright}\Huge\$

$\displaystyle{12}{x}+{10}{y}={14}\usepackage{cmbright}\Huge\$

Add the equations to get: $\displaystyle{47}{x}=-{141}\usepackage{cmbright}\Huge\$

Solve for $\displaystyle{x}\usepackage{cmbright}\Huge\$ to get $\displaystyle{x}=-{3}\usepackage{cmbright}\Huge\$ , and substitute into the second equation:

$\displaystyle{6}{\left(-{3}\right)}+{5}{y}={7}\usepackage{cmbright}\Huge\$ or $\displaystyle-{18}+{5}{y}={7}\usepackage{cmbright}\Huge\$ , so $\displaystyle{5}{y}={25}\usepackage{cmbright}\Huge\$ and $\displaystyle{y}={5}\usepackage{cmbright}\Huge\$