SOLUTION: Solve the system by Gaussian elimination. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, enter a general solution in terms of one of the

Question 1129786: Solve the system by Gaussian elimination. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, enter a general solution in terms of one of the variables.)
x + y + z = 0
2x − y + 3z= 0
x − z= 6
Thank you so much for your help!

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Your matrix:

Find the pivot in the 1st column in the 1st row:

Eliminate the 1st column:

Find the pivot in the 2nd column (inversing the sign in the whole row) and swap the 3rd and the 2nd rows

Eliminate the 2nd column

Make the pivot in the 3rd column by dividing the 3rd row by 7

Eliminate the 3rd column

Solution set:

RELATED QUESTIONS
can someone please correctly help explain how the gaussian elimination works as this is... (answered by MathLover1)

Could someone assist in explaining how to correctly solve the question. My previous... (answered by greenestamps)

Can someone please explain and demonstrate how to solve the equation. I�ve been... (answered by solver91311)

Solve the system by the substitution method. If there is no solution or an infinite... (answered by ewatrrr)

plese help Solve the system, or show that it has no solution. (If there is no solution,... (answered by josgarithmetic)

Solve the system using elimination. (If there is no solution, enter NO SOLUTION. If there (answered by checkley79)

Solve the system of equations by the Gaussian elimination method. (If the system is... (answered by ewatrrr)

Solve the system of equations by the Gaussian elimination method. (If the system is... (answered by Alan3354)

Would someone please help explain what the question means by infinite solutions with the... (answered by math_helper)