Solve the system by back substitution. Assume that the variables are named x1,x2,…from left to right. [1,0,0.0,1,0.5,-2,1.3,4,1.2,-7,3]

vazelinahS 2021-09-25 Answered

Suppose that the augmented matrix for a system of linear equations has been reduced by row operations to the given row echelon form. Solve the system by back substitution. Assume that the variables are named x1,x2,from left to right. [105320124700113]

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Talisha
Answered 2021-09-26 Author has 93 answers

The linear system corresponding to the augmented matrix is
x1+5x3+3x4=2
x22x3+4x4=7
x3+x4=3
Solve for the leading variables. x1=25x33x4
x2=7+2x34x4
x3=3x4
Substitute x3=3x4 into the first two equations.
x1=13+2x4
x2=16x4
x3=3x4
Assign arbitrary value to free variable x4, say x4=t. Then the solution is described by the parametric equations. x1=13+2t,x2=16t,x3=3t,x4=t

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Jeffrey Jordon
Answered 2021-10-12 Author has 2495 answers

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