1. HP = {3, 5}

2. HP = {³⁄₂, ¹⁄₂}

3. HP = {4, -1}

Pembahasan

–› No. 1

y = x + 2 … pers (1)

3x + y = 14 … pers (2)

Substitusi y ke pers (2):

      3x + y = 14

3x + x + 2 = 14

      4x + 2 = 14

            4x = 14 - 2

            4x = 12

              x = ¹²⁄₄

              x = 3

Substitusi x ke pers (1):

y = x + 2

y = 3 + 2

y = 5

–› No. 2

x + 3y = 3 … pers (1)

x = -y + 2 … pers (2)

Substitusi x ke pers (1):

       x + 3y = 3

-y + 2 + 3y = 3

       2y + 2 = 3

             2y = 3 - 2

             2y = 1

               y = ¹⁄₂

Substitusi y ke pers (2):

x = -y + 2

x = -¹⁄₂ + 2

x = -¹⁄₂ + ⁴⁄₂

x = ³⁄₂

–› No. 3

x = 2y + 6 … pers (1)

2x + 3y = 5 … pers (2)

Substitusi x ke pers (2):

          2x + 3y = 5

2(2y + 6) + 3y = 5

  4y + 12 + 3y = 5

           7y + 12 = 5

                  7y = 5 - 12

                  7y = -7

                    y = -⁷⁄₇

                    y = -1

Substitusi y ke pers (1):

x = 2y + 6

x = 2(-1) + 6

x = -2 + 6

x = 4