Respuesta :
3x+4y-5z=8
1x+0y+2z=-3
4x-3y+0z=6
|`3 4 (-5)`||`x`| |`8`|
| 1 0 2 | |y |=|-3 |
|.4 (-3) 0 .||.z.| |.6.|
Answer: [tex]\left[\begin{array}{ccc|c}3&4&-5&8\\1&0&2&-3\\4&-3&0&6\end{array}\right][/tex]
Step-by-step explanation:
An Augmented Matrix is where you take the coefficients of x, y, z and the sum (on the right side of the equal sign) and input them into a matrix. The x, y, z coefficients and the sum will be separated by a line.
3x + 4y - 5z = 8 --> coefficients are: 3, 4, -5, and the sum is 8
x + 2z = -3 --> coefficients are: 1, 0, 2, and the sum is -3
4x - 3y = 6 --> coefficients are: 4, -3, 0 and the sum is 6
[tex]\left[\begin{array}{ccc|c}3&4&-5&8\\1&0&2&-3\\4&-3&0&6\end{array}\right][/tex]