The system of equations are .

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

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

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 negative 8.

Cancel common terms.

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

The equation 1: .

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Subtract 20 from each side.

Divide each side by 2.

Cancel common terms.

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The solution is .