Elimination Method:

The system of equations are .

Neither variable has a common coefficient.The coefficient  of the y - variables are 2 and 5 and their least common multiple is 10, so multiply each equation by the value  that will make the y - coefficient 10.

To get two equations that contain opposite terms multiply the first equation by 5 and multiply the second equation by 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 23.

Cancel common terms.

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

The first equation: .

.

Subtract 9 from each side.

Divide each side by negative 2.

Cancel common terms.

.

The solution is .