2x = 6....=> x = 3. subsitusikan ke (3) 3x - y + z = 6....(1) x + 2y - z = 8....(2) ------------------------ + 4x + y = 14...(3) 4.3 + y = 14 12 + y = 14 y = 14 - 12 y = 2 dari (1) 3x - y + z = 6 3.3 -2 + z = 6 9 - 2 + z = 6 7 + z = 6 z = 6 -7 z = -1. z + y = -1 + 2 = 1
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Phitasary
2x = 6 .....(1) 3x - y + z = 6 .....(2) x + 2y - z = 8 .....(3)
Dari persamaan (1) di peroleh nilai x : 2x = 6 x = 3
Eliminasi persamaan (2) dan (3) : 3x - y + z = 6 x + 2y - z = 8 ...............................+ 4x + y = 14 ......(4)
Substitus x ke persamaan (4) : 4x + y = 14 4(3) + y = 14 12 + y = 14 y = 2
Substitusi x dan y ke persamaan (1) : 3x - y + z = 6 3(3) - 2 + z = 6 9 - 2 + z = 6 7 + z = 6 z = 6 - 7 z = -1
Verified answer
2x = 6....=> x = 3. subsitusikan ke (3)3x - y + z = 6....(1)
x + 2y - z = 8....(2)
------------------------ +
4x + y = 14...(3)
4.3 + y = 14
12 + y = 14
y = 14 - 12
y = 2
dari (1)
3x - y + z = 6
3.3 -2 + z = 6
9 - 2 + z = 6
7 + z = 6
z = 6 -7
z = -1.
z + y = -1 + 2 = 1
3x - y + z = 6 .....(2)
x + 2y - z = 8 .....(3)
Dari persamaan (1) di peroleh nilai x :
2x = 6
x = 3
Eliminasi persamaan (2) dan (3) :
3x - y + z = 6
x + 2y - z = 8
...............................+
4x + y = 14 ......(4)
Substitus x ke persamaan (4) :
4x + y = 14
4(3) + y = 14
12 + y = 14
y = 2
Substitusi x dan y ke persamaan (1) :
3x - y + z = 6
3(3) - 2 + z = 6
9 - 2 + z = 6
7 + z = 6
z = 6 - 7
z = -1
= y + z
= 2 + (-1)
= 1