Di ketahui sistem persamaan
2× + 2y - 5z=2
X + 3y + 2z=6
3x + 2y - z=4
Nilai dari x + y + z adalah![]()
2× + 2y - 5z=2
X + 3y + 2z=6
3x + 2y - z=4
Nilai dari x + y + z adalah
[tex]2x \: + 2y \: - 5z = 2 \: x + 3y + 2z = 6. \: 3x + 2y - z = 4[/tex]
[tex]x = 9 - \frac{43z}{2} [/tex]
[tex]x = 2 - 4z[/tex]
[tex]y = - 1 + \frac{13z}{2} [/tex]
[tex]x + y + z = 2 - 4z - 1 + \frac{13z}{2} + z[/tex]
[tex]2 - 4z - 1 + \frac{13z}{2} + z[/tex]
[tex](2 - 1) + ( - 4z + \frac{13z}{2} + z)[/tex]
[tex](2 - 1) + ( - 4 + \frac{13}{2} + 1) \times z[/tex]
[tex]1 + ( - 4 + \frac{13}{2} + 1) \times z[/tex]
[tex]1 + (( - 4 + 1) + \frac{13}{2} ) \times z[/tex]
[tex]1 + ( - 3 + \frac{13}{2} ) \: \times z[/tex]
[tex]1 + ( - \frac{3 \times 2}{2} + \frac{13}{2} ) \times z[/tex]
[tex]1 + \frac{ - 6 + 13}{2} \times z[/tex]
Hasil: ↓
[tex]1 + \frac{7}{2} z[/tex]
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