Jawaban:
x = 2 dan y = -3
Penjelasan dengan langkah-langkah:
4x + 7y = -13
7x + 4y = 2 ---> x = (2 - 4y)/7
y = (2 - 7x)/4
substitusi x = (2 - 4y)/7 ke persamaan 4x + 7y = -13, diperoleh
4x + 7y = -13
4((2 - 4y)/7) + 7y = -13
(8 - 16y)/7 + 7y = -13
(8 - 16y)/7 + 49y/7 = -13
(8 - 16y + 49y)/7 = -13
8 + 33y = -13 x 7
8 + 33y = -91
33y = -91 - 8
33y = -99
y = -99/33
y = -3
substitusi y = (2 - 7x)/4 ke persamaan 4x + 7y = -13, diperoleh
4x + 7y = -13
4x + 7((2 - 7x)/4) = -13
4x + (14 - 49x)/4 = -13
16x/4 + (14 - 49x)/4 = -13
(16x + 14 - 49x)/4 = -13
(14 - 33x)/4 = -13
14 - 33x = -13 x 4
14 - 33x = -52
-33x = -52 - 14
-33x = -66
x = -66/-33
x = 2
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