The system of equations are .

Neither variable has a common coefficient.The coefficient  of the x - variables are 1.5 and 1.2 and their least common multiple is 0.6, so multiply each equation by the value  that will make the x - coefficient 0.6.

To get two equations that contain opposite terms multiply the first equation by 0.4 and multiply the second equation by 0.5.

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

The resultant equation is and solve for y.

Divide each side by .

Cancel common terms.

.

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

The first equation: .

Add 35 to each side.

Divide each side by 1.5.

Cancel common terms.

.

The solution is .