Question 1 of 1 View Policies Current Attempt in Progress Solve the following linear system by Gaussian elimination. x_(1)+3x_(2)+4x_(3)=9 -x_(1)-4x_(2)+5x_(3)=9 3x_(1)-7x_(2)+6x_(3)=15 x_(1)=i

To solve the given linear system by Gaussian elimination, we need to follow these steps:1. Write the augmented matrix for the system.2. Perform row operations to get an upper triangular form (row echelon form).3. Use back-substitution to find the solutions.The given system of equations is: ### Step 1: Write the augmented matrix ### Step 2: Perform row operations to get an upper triangular form#### Row 1 (R1): \( (1, 3, 4, |, 9) \)#### Row 2 (R2): \( (-1, -4, 5, |, 9) \)#### Row 3 (R3): \( (3, -7, 6, |, 15) \)**Operation 1:** Make the element below the first pivot (first column, second row) zero by adding to . **Operation 2:** Make the element below the first pivot (first column, third row) zero by subtracting from . **Operation 3:** Make the element below the second pivot (second column, third row) zero by adding to . ### Step 3: Use back-substitution to find the solutionsFrom the third row: Substitute into the second row: Substitute x_3 = 2 \) into the first row: ### Final Solution: