Mathematics, 23.01.2020 17:31, khameleonjr10
Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. 2x+y+4z=16 5x-2y+2z=-1 x+2y-3z=-9 a(-1, 2, 22) b(-10, 22, 42) c(-1, 2, 4) d(-10, 2, 22) select the best answer from the choices provided a b c d
Answers: 3
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).![\left[\begin{array}{cccc}2&1&4&16\\5&-2&-2&1\\1&2&-3&-9\end{array}\right]](/tpl/images/0467/4132/83dde.png)
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we get, ![\left[\begin{array}{cccc}1&\frac{1}{2} &2&8\\5&-2&-2&1\\1&2&-3&-9\end{array}\right]](/tpl/images/0467/4132/1fe50.png)
.![\left[\begin{array}{cccc}1&\frac{1}{2} &2&8\\0&\frac{-9}{2} &-12&-39\\1&2&-3&-9\end{array}\right]](/tpl/images/0467/4132/09ef5.png)
.![\left[\begin{array}{cccc}1&\frac{1}{2} &2&8\\0&1 &\frac{8}{3} &\frac{26}{3} \\1&2&-3&-9\end{array}\right]](/tpl/images/0467/4132/9c31c.png)
.![\left[\begin{array}{cccc}1&\frac{1}{2} &2&8\\0&1 &\frac{8}{3} &\frac{26}{3} \\0&\frac{3}{2} &-5&-17\end{array}\right]](/tpl/images/0467/4132/d7644.png)
.![\left[\begin{array}{cccc}1&0&\frac{-2}{3} &\frac{11}{3} \\0&1 &\frac{8}{3} &\frac{26}{3} \\0&0&-9&-30\end{array}\right]](/tpl/images/0467/4132/322bd.png)
.![\left[\begin{array}{cccc}1&0&\frac{-2}{3} &\frac{11}{3} \\0&1 &\frac{8}{3} &\frac{26}{3} \\0&0&1&\frac{10}{3} \end{array}\right]](/tpl/images/0467/4132/6ed35.png)
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of the third row from the second row, we get, ![\left[\begin{array}{cccc}1&0&0 &7 \\0&1 &0&\frac{-2}{9} \\0&0&1&\frac{10}{3} \end{array}\right]](/tpl/images/0467/4132/9c1ef.png)
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