Elimination Method:

The system of equations are

  Equation (1)

  Equation (2)

Neither variable has a common coefficient.The coefficient  of the t - variables are 10 and 4 and their least common multipe is 40, so multiply each equation by the value that will make the t - coefficient 40.

Add the equations to elimante t - variable.

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

Apply division property of equality: Divide each side by negative 54.

                (Cancel common terms)

Now, find the t value by substituting  in .

    (Multiply: )

Apply addition property of equality: Add 12 to each side.

 (Apply additive inverse property: )

       (Apply additive identity property: )

               (Add: )

       (Divide each side by 10)

                   (Cancel common terms)

The system of solution is .