Question

Can someone help me?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

x = -1, y = 2, z = 1

Explanation:

* note

we will solve the simultaneous equation using the Gaussian Elimination

$x + 2y - z = 2\\3x - y + 2z =-3\\2x + 3y + z = 5$

$\left[\begin{array}{cccc}1&2&-1&2\\3&-1&2&-3\\2&3&1&5\end{array}\right]$

$\left[\begin{array}{cccc}1&2&-1&2\\0&-7&5&-9\\2&3&1&5\end{array}\right]$

$\left[\begin{array}{cccc}1&2&-1&2\\0&-7&5&-9\\0&-1&3&1\end{array}\right]$

$\left[\begin{array}{cccc}1&2&-1&2\\0&-7&-\displaystyle\frac{5}{7} &-\displaystyle\frac{9}{7} \\0&-1&3&1\end{array}\right]$

$\left[\begin{array}{cccc}1&0&\displaystyle\frac{3}{7} &-\displaystyle\frac{4}{7} \\0&-7&-\displaystyle\frac{5}{7} &-\displaystyle\frac{9}{7} \\0&-1&3&1\end{array}\right]$

$\left[\begin{array}{cccc}1&0&\displaystyle\frac{3}{7} &-\displaystyle\frac{4}{7} \\0&-7&-\displaystyle\frac{5}{7} &-\displaystyle\frac{9}{7} \\0&0&\displaystyle\frac{16}{7} &\displaystyle\frac{16}{7} \end{array}\right]$

$\left[\begin{array}{cccc}1&0&0&-1 \\0&1&0} &2 \\0&0&1 &1\end{array}\right]$

$x = -1, y = 2, z =1$