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 = −34 3x + 4y = −11 4x − 8y = 52

The solution of the system of equations is .

Step-by-step explanation:

Gauss–Jordan elimination is a procedure for converting a matrix to reduced row echelon form using elementary row operations.

It relies upon three elementary row operations one can use on a matrix:

To find the solution of the system

using Gauss-Jordan elimination you must:

Step 1: Transform the augmented matrix to the reduced row echelon form.

In an augmented matrix, each row represents one equation in the system and each column represents a variable or the constant terms.

This is the augmented matrix that represents the system.

Using elementary matrix operations, we get that

Row Operation 1: Add row 1 to row 2

Row Operation 2: Divide row 1 by −3

Row Operation 3: Subtract row 1 multiplied by 4 from row 3

Row Operation 4: Divide row 2 by 9

Row Operation 5: Add row 2 multiplied by 5/3 to row 1

Row Operation 6: Add row 2 multiplied by 4/3 to row 3

This is the reduced row echelon form matrix

Step 2: Interpret the reduced row echelon form

The reduced row echelon form of the augmented matrix corresponds to the system

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step-by-step explanation:

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step-by-step explanation: