Question

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

Answer 1

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Diketahui spltv
4x+3y+z=16..............(1)
2x + 7y + 3z=8........(2)
X-3y-2z=14..............(3)

4x+3y+z=16..............(x1
2x + 7y + 3z=8........(x2

4x+ 3y+ z=16..............
4x + 14y + 6z=16........
------------------------ -
..........-11y -5z =0...............(4)

2x + 7y + 3z=8........(x1)
X - 3y - 2z=14..............(x2)

2x + 7y + 3z=8........
2X - 6y - 4z=28..............
------------------------- -
............13y +7z = -20 .........(5)

-11y -5z =0...............(4)
13y +7z = -20 .........(5)

-11y -5z =0...............(x7)
13y +7z = -20 .........(x 5)

-77y -35z =0...............(x7)
65y +35z = -100 .........(x 5)
-------------------------- +
-12 y = -100
y= 100 /12 =25/3

-11y -5z =0...............(4)
-11×(25/3) -5z =0
-11×(25/3) =5z
-11×(25/3) × 1/5 = z
-55/3 =z

X-3y-2z=14..............(3)

X-3×25/3-2×-55/3=14
x-25 +110/3 =14
X = 14 +25 -110/3
X = 39 -110/3
X = (117-110) /3= 7/3