The system of equations are .

Neither variable has a common coefficient.The coefficient  of the y - variables are 2 and 3 and their least common multiple is 6, so multiply each equation by the value  that will make the y - coefficient 6.

To get two equations that contain opposite terms multiply the first equation by 3 and multiply the second equation by negative 2.

Write the equations in column form and add the corresponding columns to eliminate y - variable.

The resultant equation is and solve for x.

Divide each side by 13.

Cancel common terms.

.

Substitute the value of in either of the original equations and solve for y.

The first equation: .

.

Subtract 7 from each side.

Divide each side by 2.

Cancel common terms.

.

The solution is .