solve the equation by using gauss-jordan method : x + y + z = 1, 2x + 2y + 3z = 6, x + 4y + 9z = 3
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solve the equation by using gauss-jordan method : x + y + z = 1, 2x + 2y + 3z = 6,
solve the equation by using gauss-jordan method : x + y + z = 1, 2x + 2y + 3z = 6, x + 4y + 9z = 3
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Answer:
∴ x=7,y=−10,z=4
Step-by-step explanation:
Given equation
x+y+z=1−−−−(1)
2x+2y+3z=5−−−−(2)
x+4y+9z=3−−−−(3)
(2)−2×(1) ⇒
z=4
2x+2y+3z=62x+2y+2z=2
(2)−2×(1) ⇒
−3x+3z=−9−x+z=−3x=z+3=7
x+4y+9z=34x+4y+6z=12
(1) ⇒ x+y+z=1
7+y+4=1
y=−10
∴ x=7,y=−10,z=4
Answer:
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