Mathematics, 18.01.2021 22:00 DragonLovely
Solve the system of linear equations. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x1, x2, and x3 in terms of the parameter t.)
Answers: 1
![\left[\begin{array}{ccccc}2&1&-2&|&4\\4&0&2&|&10\\ -4&5&-17&|&-15 \end{array}\right]](/tpl/images/1043/6748/6a349.png)
![R_1\to R_2 (2) \sim \left[\begin{array}{ccccc}4&2&-4&|&8\\4&0&2&|&10\\ -4&5&-17&|&-15 \end{array}\right] \\\\\\R_2\to R_2-R_1\\R_3\to R_3 \frac{1}{7} \sim \left[\begin{array}{ccccc}4&2&-4&|&8\\0&-1&3&|&1\\ 0&1&-3&|&-1 \end{array}\right] \\\\R_3\to R_3+R_2 \sim \left[\begin{array}{ccccc}4&2&-4&|&8\\0&-1&3&|&1\\ 0&0&0&|&0 \end{array}\right]](/tpl/images/1043/6748/dd91f.png)
 
in equation  1 we get  
![\left[\begin{array}{c}X_1\\x_2\\x_3\end{array}\right]= \left[\begin{array}{c}-\frac{1}{2}s +\frac{5}{2} \\3s-1\\s\end{array}\right]](/tpl/images/1043/6748/e54c9.png)
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