Question

The system of linear equations has a unique solution. Find the solution using Gaussian elimination or Gauss-Jordan elimination. {x-2 y+z =1 {y+2 z =5 {x+y+3 z =8

Answer 1

To solve the system of linear equations using Gaussian elimination, eliminate one variable at a time and solve the resulting system of equations.

Step-by-step explanation:

To find the solution to the system of linear equations using Gaussian elimination, we need to eliminate one variable at a time. Let's start by eliminating the variable x.

Add the first equation to the second equation multiplied by -1. This gives us -y - 3z = -4.

Add the first equation to the third equation multiplied by -1. This gives us -2y - 2z = -7.

Now, we have a system of two equations: -y - 3z = -4 and -2y - 2z = -7. Solve this system using Gaussian elimination or any other method to find the values of y and z.