Mathematics, 14.09.2019 10:30 Ezekielcassese
Solve the following system of equations. write each of your answers as a fraction reduced to lowest terms. in other words, write the numbers in the exact form that the row operation tool gives them to you when you use the tool in fraction mode. no decimal answers are permitted.
15x + 15y + 10z = 106
5x + 15y + 25z = 135
15x + 10y - 5z = 42
x =
y =
z =
Answers: 2
![\left[\begin{array}{ccc}15&15&10\ \ |106\\5&15&25\ \ |135\\15&10&-5|42\end{array}\right]](/tpl/images/0231/2970/15324.png)
![=\ \left[\begin{array}{ccc}1&1&\dfrac{10}{15}|\dfrac{106}{15}\\5&15&25|135\\15&15&-5|42\end{array}\right]](/tpl/images/0231/2970/dc8c7.png)
![=\ \left[\begin{array}{ccc}1&1&\dfrac{10}{15}|\dfrac{106}{15}\\\\0&10&\dfrac{65}{3}|\dfrac{299}{3}\\\\0&0&-15|-64\end{array}\right]](/tpl/images/0231/2970/583b4.png)
![=\ \left[\begin{array}{ccc}1&1&\dfrac{10}{15}|\dfrac{106}{15}\\\\0&1&\dfrac{65}{30}|\dfrac{299}{30}\\\\0&0&-15|-64\end{array}\right]](/tpl/images/0231/2970/f2d79.png)
![=\ \left[\begin{array}{ccc}1&1&\dfrac{10}{15}|\dfrac{106}{15}\\\\0&1&\dfrac{65}{30}|\dfrac{299}{30}\\\\0&0&1|\dfrac{64}{15}\end{array}\right]](/tpl/images/0231/2970/2e2a9.png)
![=\ \left[\begin{array}{ccc}1&0&\dfrac{-3}{2}|\dfrac{17}{30}\\\\0&1&\dfrac{65}{30}|\dfrac{299}{30}\\\\0&0&1|\dfrac{64}{15}\end{array}\right]](/tpl/images/0231/2970/43b52.png)
![=\ \left[\begin{array}{ccc}1&0&0|\dfrac{209}{30}\\\\0&1&\dfrac{65}{30}|\dfrac{299}{30}\\\\0&0&1|\dfrac{64}{15}\end{array}\right]](/tpl/images/0231/2970/e5e89.png)
![=\ \left[\begin{array}{ccc}1&0&\0|\dfrac{209}{30}\\\\0&1&0|\dfrac{29}{18}\\\\0&0&1|\dfrac{64}{15}\end{array}\right]](/tpl/images/0231/2970/7bfa1.png)
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Solve the following system of equations. write each of your answers as a fraction reduced to lowest...
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