To solve this system of equations, we can use the method of substitution or elimination. Let's use the elimination method.
First, let's multiply the second equation by 9:
-9x + 81y + 9z = 234
Now, add this new equation to the first equation:
82y + 18z = 246
Now, let's multiply the first equation by -1 and add it to the third equation:
0y = -6
This equation means that y = -6/0, which is undefined. This system of equations is inconsistent and has no solution.
To solve this system of equations, we can use the method of substitution or elimination. Let's use the elimination method.
First, let's multiply the second equation by 9:
-9x + 81y + 9z = 234
Now, add this new equation to the first equation:
9x + y + 9z = 12-9x + 81y + 9z = 234
82y + 18z = 246
Now, let's multiply the first equation by -1 and add it to the third equation:
-9x - y - 9z = -129x - y + 9z = 6
0y = -6
This equation means that y = -6/0, which is undefined. This system of equations is inconsistent and has no solution.