Elimination Method:

Let first number is x and second number is y.

Write the algebric expression for the verbal expression.

Equation (1)

Apply division property of equality: Divide each side by 3.

         Equation (1)

   Equation (2)

         (Divide each side by 3)

Rearrange the terms using commutative property of addition: a + b = b + a.

         Equation (2)

Neither variable has a common coefficient.The coefficient  of the y - variables are 3 and 6 and their least common multipe is 6, so multiply equation(1) by 2 that will make the y - coefficient 6.

Add the equations to elimante y - variable.

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

    (Divide each side by 16)

                     (Cancel common terms)

Now, find the y value by substituting in .

         (Multiply: )

Apply subtraction property of equality: Subtract 24 from each side.

Rearrange the terms using commutative property of addition: a + b = b + a.

 (Apply additive inverse property: )

       (Apply additive identity property: )

              (Subtract: )

      (Divide each side by negative 3)

                  (Cancel common terms)

The system of solution is .