Elimination method:

Given equations are,

----------(1)

----------(2)

When the coefficients of a variable and are same,

subtracting the equations will eliminate the variable.

Subtracting (2) and (1) equations will eliminate the variable y.

     (Subtract from equation (2) to equation (1))

Substitute  for x in either equation to find y.

                    (First equation)

                     (Substitute )

Apply commutative property of addition: .

           (Subtract 4 from each side)

                 (Apply additive inverse property: )

                       (Apply additive identity property: )

                             (Subtract: )

Check the solution:

To Check, substitute  and  in either equation.

                        (First equation)

                        (Substitute and  )

                               (Add: )

The solution  is true.

The solution is .