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The approximate solution of the system of simultaneous equations
2x - 5y + 3z = 7
x + 4y - 2z = 3
2x + 3y + z = 2
by applying Gauss-Seidel method one time (using initial approximation as x - 0, y - 0, z - 0) will be:
  • a)
    x = 2.32, y = 1.245, z = -3.157
  • b)
    x = 1.25, y = -2.573, z = -3.135
  • c)
    x = 2.45, y = -1.725, z = -3.565
  • d)
    x = 3.5, y = -0.125, z = -4.625
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The approximate solution of the system of simultaneous equations2x - 5...
Gauss Seidel Method:
In Gauss Seidel method, the value of x calculated is used in next calculation putting other variable as 0.
2x - 5y + 3z = 7
Putting y = 0, z = 0 ⇒ x = 3.5
x + 4y - 2z = 3
Putting x = 3.5, z = 0 ⇒ y = - 0.125
2x + 3y + z = 2
Putting x = 3.5, y = - 0.125 ⇒ z = 2 – 3(-0.125) – 2(3.5)
z = - 4.625
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Most Upvoted Answer
The approximate solution of the system of simultaneous equations2x - 5...
Gauss Seidel Method:
In Gauss Seidel method, the value of x calculated is used in next calculation putting other variable as 0.
2x - 5y + 3z = 7
Putting y = 0, z = 0 ⇒ x = 3.5
x + 4y - 2z = 3
Putting x = 3.5, z = 0 ⇒ y = - 0.125
2x + 3y + z = 2
Putting x = 3.5, y = - 0.125 ⇒ z = 2 – 3(-0.125) – 2(3.5)
z = - 4.625
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The approximate solution of the system of simultaneous equations2x - 5y + 3z = 7x + 4y - 2z = 32x + 3y + z = 2by applying Gauss-Seidel method one time (using initial approximation as x - 0, y - 0, z - 0) will be:a)x = 2.32, y = 1.245, z = -3.157b)x = 1.25, y = -2.573, z = -3.135c)x = 2.45, y = -1.725, z = -3.565d)x = 3.5, y = -0.125, z = -4.625Correct answer is option 'D'. Can you explain this answer?
Question Description
The approximate solution of the system of simultaneous equations2x - 5y + 3z = 7x + 4y - 2z = 32x + 3y + z = 2by applying Gauss-Seidel method one time (using initial approximation as x - 0, y - 0, z - 0) will be:a)x = 2.32, y = 1.245, z = -3.157b)x = 1.25, y = -2.573, z = -3.135c)x = 2.45, y = -1.725, z = -3.565d)x = 3.5, y = -0.125, z = -4.625Correct answer is option 'D'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about The approximate solution of the system of simultaneous equations2x - 5y + 3z = 7x + 4y - 2z = 32x + 3y + z = 2by applying Gauss-Seidel method one time (using initial approximation as x - 0, y - 0, z - 0) will be:a)x = 2.32, y = 1.245, z = -3.157b)x = 1.25, y = -2.573, z = -3.135c)x = 2.45, y = -1.725, z = -3.565d)x = 3.5, y = -0.125, z = -4.625Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The approximate solution of the system of simultaneous equations2x - 5y + 3z = 7x + 4y - 2z = 32x + 3y + z = 2by applying Gauss-Seidel method one time (using initial approximation as x - 0, y - 0, z - 0) will be:a)x = 2.32, y = 1.245, z = -3.157b)x = 1.25, y = -2.573, z = -3.135c)x = 2.45, y = -1.725, z = -3.565d)x = 3.5, y = -0.125, z = -4.625Correct answer is option 'D'. Can you explain this answer?.
Solutions for The approximate solution of the system of simultaneous equations2x - 5y + 3z = 7x + 4y - 2z = 32x + 3y + z = 2by applying Gauss-Seidel method one time (using initial approximation as x - 0, y - 0, z - 0) will be:a)x = 2.32, y = 1.245, z = -3.157b)x = 1.25, y = -2.573, z = -3.135c)x = 2.45, y = -1.725, z = -3.565d)x = 3.5, y = -0.125, z = -4.625Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT. Download more important topics, notes, lectures and mock test series for ACT Exam by signing up for free.
Here you can find the meaning of The approximate solution of the system of simultaneous equations2x - 5y + 3z = 7x + 4y - 2z = 32x + 3y + z = 2by applying Gauss-Seidel method one time (using initial approximation as x - 0, y - 0, z - 0) will be:a)x = 2.32, y = 1.245, z = -3.157b)x = 1.25, y = -2.573, z = -3.135c)x = 2.45, y = -1.725, z = -3.565d)x = 3.5, y = -0.125, z = -4.625Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The approximate solution of the system of simultaneous equations2x - 5y + 3z = 7x + 4y - 2z = 32x + 3y + z = 2by applying Gauss-Seidel method one time (using initial approximation as x - 0, y - 0, z - 0) will be:a)x = 2.32, y = 1.245, z = -3.157b)x = 1.25, y = -2.573, z = -3.135c)x = 2.45, y = -1.725, z = -3.565d)x = 3.5, y = -0.125, z = -4.625Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The approximate solution of the system of simultaneous equations2x - 5y + 3z = 7x + 4y - 2z = 32x + 3y + z = 2by applying Gauss-Seidel method one time (using initial approximation as x - 0, y - 0, z - 0) will be:a)x = 2.32, y = 1.245, z = -3.157b)x = 1.25, y = -2.573, z = -3.135c)x = 2.45, y = -1.725, z = -3.565d)x = 3.5, y = -0.125, z = -4.625Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The approximate solution of the system of simultaneous equations2x - 5y + 3z = 7x + 4y - 2z = 32x + 3y + z = 2by applying Gauss-Seidel method one time (using initial approximation as x - 0, y - 0, z - 0) will be:a)x = 2.32, y = 1.245, z = -3.157b)x = 1.25, y = -2.573, z = -3.135c)x = 2.45, y = -1.725, z = -3.565d)x = 3.5, y = -0.125, z = -4.625Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The approximate solution of the system of simultaneous equations2x - 5y + 3z = 7x + 4y - 2z = 32x + 3y + z = 2by applying Gauss-Seidel method one time (using initial approximation as x - 0, y - 0, z - 0) will be:a)x = 2.32, y = 1.245, z = -3.157b)x = 1.25, y = -2.573, z = -3.135c)x = 2.45, y = -1.725, z = -3.565d)x = 3.5, y = -0.125, z = -4.625Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice ACT tests.
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