x - y + z = -2
3x + 2y = 13
y + 2z = 9
Persamaan Linear Tiga Variabel (PLTV)
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3x + 2y = 13
y + 2z = 9
Persamaan Linear Tiga Variabel (PLTV)
mohon dibantu pake cara ya ka
Materi : SPLTV
x - y + z = -2 [ y = x + z + 2 ]
SPLTV => SPLDV
3x + 2y = 13
3x + 2( x + z + 2 ) = 13
3x + 2x + 2z + 4 = 13
5x + 2z = 9
y + 2z = 9
x + z + 2 + 2z = 9
x + 3z = 7
SPLDV
5x + 2z = 9
x + 3z = 7 [ x = 7 - 3z ]
Metode Substitusi ( x => z )
5( 7 - 3z ) + 2z = 9
35 - 15z + 2z = 9
15z - 2z = 35 - 9
13z = 26
z = 26/13
[ z = 2 ]
x = 7 - 3z
x = 7 - 3(2)
x = 7 - 6
[ x = 1 ]
y = x + z + 2
y = 1 + 2 + 2
[ y = 5 ]
Hasil / Result :
{ x = 1 , y = 5 , z = 2 }
Semoga bisa membantu
[tex] \boxed{ \colorbox{navy}{ \sf{ \color{lightblue}{ Answer\:by\: BLUEBRAXGEOMETRY}}}} [/tex]
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