Jawab:
(1)  Hp = {³³/₄ , ⁹/₂}
(2) Hp = {⁵⁰/₃ , ¹⁶/₃}

Penjelasan :
(1) Eliminasi
2x + 3y = 30 [pers i]
2x    - y = 12 [pers ii]
------------------ (-)
...     4y = 18
y = ¹⁸/₄
y = ⁹/₂

Substitusi
2x - y = 12 [pers ii]
2x - ⁹/₂ = 12
2x = 12 + ⁹/₂
2x = ²⁴/₂ + ⁹/₂
2x = ³³/₂
x = ³³/₂₍₂₎
x = ³³/₄

Hp = {x, y}
Hp = {³³/₄ , ⁹/₂}

-----------------------------
(2) Eliminasi
4x - 5y = 40 [pers i]
.. x - 2y = 6   [pers ii]
----------------- (-)
3x - 3y = 34
3(x-y) = 34
x - y = ³⁴/₃    [pers iii]

Abisin lagi
x - y = ³⁴/₃    [pers iii]
x - 2y = 6     [pers ii]
--------------- (-)
..    y  = ³⁴/₃ - 6
..    y  = ³⁴/₃ - ¹⁸/₃
..    y  = ¹⁶/₃

Substitusi
.. x - 2y      = 6   [pers ii]
.. x - 2(¹⁶/₃) = 6
.. x - ³²/₃ = 6
.. x          = 6 + ³²/₃
.. x          = ¹⁸/₃ + ³²/₃
.. x          = ⁵⁰/₃

Hp = {x, y}
Hp = {⁵⁰/₃ , ¹⁶/₃}

(xcvi)