diketahui sistem persamaan linear berikut: 2x+3y-z=5 x+y+z=9 x-2y-z=-7
Matematika
ekamutia29
Pertanyaan
diketahui sistem persamaan linear berikut:
2x+3y-z=5
x+y+z=9
x-2y-z=-7
2x+3y-z=5
x+y+z=9
x-2y-z=-7
1 Jawaban
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1. Jawaban tjpakuan
x+y+z+=9
x=9-y-z
2x+3y-z=5
2(9-y-z)+3y-z =5
18-2y-2z+3y-z=5
y-3z=-13
y=-13+3z
x-2y-z = -7
(9-y-z) - 2y-z = -7
(9-(-13+3z)-z) - 2(-13+3z) - z = -7
-11z = -55
z=5
y = -13+3z = -13+3(5) = 2
x = (9 -y-z) = (9-2-5) = 2
jadi x= 2, y = 2, z=5