gaussian Elimination method
Homework Answers
x+9y-6z=1------(2)
-3x+8y+5z=6 -----(3)
from (2) x=1-9y+6z
substituting x in (1) and (3)
2-18y+12z-7y+4z=9
-25y+16z=7-----(4)
-3+27y-18z+8y+5z=6
35y-13z=9-----(5)
solving (4),(5) to set y and z from this we get x
i hope this will help u
Use Gaussian Elimination only to solve 3x - 2y + z = 13 -2x + y...
Use Gaussian Elimination only to solve 3x - 2y + z = 13 -2x + y + 4z = 11 x + 4y - 5z = -31
solving using Gaussian elimination method to solve the questions above 1. Solve the following systems of...
solving using Gaussian elimination method to solve the
questions above
1. Solve the following systems of linear equations using Gaussian elimination method. a) 3z 9 x 5y 2z 2 1 3 *+2y = 3 b) x+y 0 2x y+3z3 x-2y -z 3 c) xy+z 9 2x +4y-3z= 1 3x+6y 5z= 0 e) 2xz w 5 y-w-1 3x z-w 0 4x +y+ 2z +w 9 2. How many gallons of each of a 60 % acid solution and an 80 %...
Solve the following system of equations using Gaussian or Gauss-Jordan elimination. X- 2y + 4z =...
Solve the following system of equations using Gaussian or Gauss-Jordan elimination. X- 2y + 4z = 5 3x + y- Z = -9 2x + 3y - 6z = - 18 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice O A. The solution is c. (Type integers or simplified fractions.) OB. There are infinitely many solutions of the form (2) (Type expressions using z as the variable.) OC. There is no...
Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution 3x +...
Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution 3x + 3y + 6z = 12 3x + 2y + 2z = 7 2x + 4y + 192 = 11 The solution set is {000) (Simplify your answers.) ha ancier hovee
2,3, 6, 7 1. Without matrices, solve the following system using the Gaussian elimination method +...
2,3, 6, 7
1. Without matrices, solve the following system using the Gaussian elimination method + 1 + HP 6x - Sy- -2 2. Consider the following linear system of equation 3x 2 Sy- (a) Write the augmented matrix for this linear system (b) Use row operations to transform the augmented matrix into row.echelon form (label all steps) (c) Use back substitution to solve the linear system. (find x and y) x + 2y 2x = 5 3. Consider the...
Question 21 Solve the systems in Exercises 19-24 with the elimination method. Check your answers by...
Question 21
Solve the systems in Exercises 19-24 with the elimination method. Check your answers by substituting them back in. (Answers are not given at the back of the book.) 19. 2x + 3y = 5 20. 5x + 3y = 11 4x – 2y = 2 2x + 7y = 16 21. 3x – 7y = 27 22. 5x - 2y = -23 4x – 5y = 23 x + 2y = 5 23. 5x – 9y = -12...
Ð. Solve the following system of linear equations by Gaussian elimination: 4x + 4y + 4z...
Ð. Solve the following system of linear equations by Gaussian elimination: 4x + 4y + 4z = 8 2x + y + z = 3 2x - 2y + 6z = 16 Show all your work and explain every step of the process.
Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no...
Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set y = t and solve for x in terms of t.) −3x + 5y = −35 3x + 4y = −1 4x − 8y = 52
Solve the system using Gaussian elimination or Gauss-Jordan elimination. -3x-3y-3z = 30 9x- 9y- 9z -90 -1.5x-1.5y-1.5z-15 Select one: a. (2, 2, 6)) Ob. {(x,y,z)1-3x-3y-3z = 30) Ос. { } Solve the...
Solve the system using Gaussian elimination or Gauss-Jordan elimination. -3x-3y-3z = 30 9x- 9y- 9z -90 -1.5x-1.5y-1.5z-15 Select one: a. (2, 2, 6)) Ob. {(x,y,z)1-3x-3y-3z = 30) Ос. { }
Solve the system using Gaussian elimination or Gauss-Jordan elimination. -3x-3y-3z = 30 9x- 9y- 9z -90 -1.5x-1.5y-1.5z-15 Select one: a. (2, 2, 6)) Ob. {(x,y,z)1-3x-3y-3z = 30) Ос. { }
1. Solve the following system of equations using Gaussian Elimination with Back Substitution or Gauss-Jordan Elimination....
1. Solve the following system of equations using Gaussian Elimination with Back Substitution or Gauss-Jordan Elimination. 2x - y +9z = -8 -X - 3y + 4z = -15 5x + 2y - z = 17
solving using Gaussian elimination method to solve the
questions above
1. Solve the following systems of linear equations using Gaussian elimination method. a) 3z 9 x 5y 2z 2 1 3 *+2y = 3 b) x+y 0 2x y+3z3 x-2y -z 3 c) xy+z 9 2x +4y-3z= 1 3x+6y 5z= 0 e) 2xz w 5 y-w-1 3x z-w 0 4x +y+ 2z +w 9 2. How many gallons of each of a 60 % acid solution and an 80 %...
Solve the following system of equations using Gaussian or Gauss-Jordan elimination. X- 2y + 4z = 5 3x + y- Z = -9 2x + 3y - 6z = - 18 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice O A. The solution is c. (Type integers or simplified fractions.) OB. There are infinitely many solutions of the form (2) (Type expressions using z as the variable.) OC. There is no...
Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution 3x + 3y + 6z = 12 3x + 2y + 2z = 7 2x + 4y + 192 = 11 The solution set is {000) (Simplify your answers.) ha ancier hovee
2,3, 6, 7
1. Without matrices, solve the following system using the Gaussian elimination method + 1 + HP 6x - Sy- -2 2. Consider the following linear system of equation 3x 2 Sy- (a) Write the augmented matrix for this linear system (b) Use row operations to transform the augmented matrix into row.echelon form (label all steps) (c) Use back substitution to solve the linear system. (find x and y) x + 2y 2x = 5 3. Consider the...
Question 21
Solve the systems in Exercises 19-24 with the elimination method. Check your answers by substituting them back in. (Answers are not given at the back of the book.) 19. 2x + 3y = 5 20. 5x + 3y = 11 4x – 2y = 2 2x + 7y = 16 21. 3x – 7y = 27 22. 5x - 2y = -23 4x – 5y = 23 x + 2y = 5 23. 5x – 9y = -12...
Solve the system using Gaussian elimination or Gauss-Jordan elimination. -3x-3y-3z = 30 9x- 9y- 9z -90 -1.5x-1.5y-1.5z-15 Select one: a. (2, 2, 6)) Ob. {(x,y,z)1-3x-3y-3z = 30) Ос. { }
Solve the system using Gaussian elimination or Gauss-Jordan elimination. -3x-3y-3z = 30 9x- 9y- 9z -90 -1.5x-1.5y-1.5z-15 Select one: a. (2, 2, 6)) Ob. {(x,y,z)1-3x-3y-3z = 30) Ос. { }
1. Solve the following system of equations using Gaussian Elimination with Back Substitution or Gauss-Jordan Elimination. 2x - y +9z = -8 -X - 3y + 4z = -15 5x + 2y - z = 17
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