Elimination Method:

The system of equations are

  Equation (1)

Equation (2)

Rewrite the second equation in trems of "u".

Equation (2)

Neither variable has a common coefficient.The coefficient  of the v - variables are 5 and 8 and their least common multipe is 40, so multiply each equation by the value  that will make the v - coefficient 40.

Add the equations to elimante v - variable.

Write the equations in column form and add the corresponding columns.

Apply division property of equality: Divide each side by 118.

                (Cancel common terms)

Now, find the v value by substituting in .

(Multiply: )

            (Add: )

    (Divide each side by 8)

                (Cancel common terms)

The system of solution is .