Mathematics, 16.08.2020 01:01 jasmin5285
What is the sum of the three solutions? (find the values for x, y, and z, then add the answers)
2x + 3y − z = 5
x − 3y + 2z = −6
3x + y − 4z = −8
Answers: 2
![M=\left[\begin{array}{ccc}2&3&-1\\1&-3&2\\3&1&-4\end{array}\right]](/tpl/images/0722/8834/66503.png)
![M_x = \left[\begin{array}{ccc}5&3&-1\\-6&-3&2\\-8&1&-4\end{array}\right] \implies D_x = \begin{vmatrix}5&3&-1\\-6&-3&2\\-8&1&-4\\\end{vmatrix}=-40](/tpl/images/0722/8834/ee942.png)
![M_y = \left[\begin{array}{ccc}2&5&-1\\1&-6&2\\3&-8&-4\end{array}\right] \implies D_y = \begin{vmatrix}2&5&-1\\1&-6&2\\3&-8&-4\\\end{vmatrix}=120](/tpl/images/0722/8834/5ef6c.png)
![M_z = \left[\begin{array}{ccc}2&3&5\\1&-3&-6\\3&1&-8\end{array}\right] \implies D_z= \begin{vmatrix}2&3&5\\1&-3&-6\\3&1&-8\\\end{vmatrix}=80](/tpl/images/0722/8834/5483a.png)
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What is the sum of the three solutions? (find the values for x, y, and z, then add the answers)
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