Question

Write the augmented matrix corresponding to the system of equations. 3x + 4y − 5z = 8 x + 2z = −3 4x − 3y = 6 Incorrect: Your answer is incorrect.

Answer 1

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 2

Answer:
`\left[\begin{array}ccc3&4&-5&8\\1&0&2&-3\\4&-3&0&6\end{array}\right]`

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

`\left[\begin{array}c3&4&-5&8\\1&0&2&-3\\4&-3&0&6\end{array}\right]`