Question

Use a software program or a graphing utility to solve the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, z, and w in terms of the parameter t.) x + 8y + z + 3w = 0 x − y + w = 0 23y − z + 2w = 0

Answer 1

The solution to the system of linear equations is the set of vectors of the form

`(t, (2t)/(11), (28t)/(11), (-9t)/(11)), \,\,t\in \mathbb{R}`

Explanation:

There are several computer algebra systems (CAS) that you can use. In Mathematica you can enter the input shown below to get the solution:

```

Solve[{8y+z+3w==0, x-y+w==0, 23y-z+2w==0}, {x,y,z,w}]

```

What you obtain as an output is a list as follows:

`\{\{y\to (2x)/(11), z\to (28x)/(11),w\to (-9x)/(11)\}\}`

For more details see the image below.