Nilai x yang memenuhi sistem persamaan linear

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5y – 8z = -19
5x – 8z = 6
3x – 2y = 12
adalah…..
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Nilai x yang memenuhi sistem persamaan linear

Jawaban Terkonfirmasi

Jawab

5y – 8z = -19
5x – 8z = 6
……………….(-)
– 5x + 5y = – 15 atau x – y =  3

x – y = 3 ..|kali 3
3x – 2y = 12

3x – 3y = 9
3x – 2y = 12 ||(-)
-y = – 3
y = 3

x – y = 3
x = 3+y  = 3 + 3
x = 6

5x – 8z = 6
5(6) – 8z = 6
-8z = 6  – 30
– 8z = – 24
z = 3
(x,y,z) = (6, 3, 3)

5y-8z=-19
5x-8z=6
________ –
5y-5x=-25
y-x=-5
2y-2x=-10

3x-2y=12
2y-2x=-10
________+
x=2
y=-3
z=1/2