Diketahui SPLTV 4x+3y+z=16 2x+7y+3z=8 x-3y-2z=-14

Mapel : Matematika

Materi : SPLTV

Jawaban:

[tex]4x \: + 3y + z \: = 16.....(1) \\ 2 x + 7y + 3z = 8......(2) \\ x - 3y - 2z = 14.....(3) \\Per \: 1 \: dan \: 2 \: \\4 x + 4y + z = 16 |x3| 12 x + 9y \: + 3z \: = 48 \\ 2 x + 7y + 3z = 8 |x1| \frac{2 x + 7y + 3z = 8}{10x + 2y = 40} \: - \\ Per \: 1 \: dan \: 3 \\ 4x + 3y + z = 16 | x2| 8x + 6y + 2z = 32 \\ x - 3y - 2z = - 14 |x1| \frac{2x - 3y - 2z = - 14}{10 x + 3 \: y = 18} + \\ \\ \\ 10x + 2y = 40 \: \: \: \: \\ \frac{10x + 3y = 18}{ - y = 22 } - \\ y = - 22 \\ \: \: \: \: \: \: \: \: \: \: \: \\ \\ 10 x + 2y = 40 |x3 \\ \frac{10x + 3y =18 | x2}{30x + 6y = 120 } \\ \frac{20x + 6y = 36}{10x = 84} - \\ x = \frac{84}{10} \\ x = 8,4

\\ \\ \\ x - 3y - 2z = - 14 \\ 8,4 - 3( - 22)2z = - 14 \\ 8,4 + 66 - 2z = - 14 \\ - 2z = - 14 - 8,4 - 66 \\ - 2z = - 88,4 \\ z = \frac{ - 88,4 }{ - 2} \\ z = 44,2 \\ \\ {{\boxed{\boxed{{ hp \: = 8,4 - 22 ,44,2\: }}}}}[/tex]

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DETAIL JAWABAN :

• Klas : 10
• Mapel : Matematika
• Bab : 6 SPLTV
• kode : 4
• kode kategorisasi : 10,14.6