Elliott Blake
08/31/2023 · Middle School
Suppose that the augmented matrix of a system of linear equations for unknowns \( x, y \), and \( z \) is \( \left[\begin{array}{ccc:c}1 & -\frac{7}{2} & \frac{11}{4} & -6 \\ 5 & -\frac{35}{2} & \frac{55}{4} & -30 \\ -4 & 14 & -11 & 24\end{array}\right] \). Solve the system and provide the information requested.
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The system has infinitely many solutions and can be expressed as \( x = -6 + \frac{7}{2}s - \frac{11}{4}t, y = s, z = t \), where \( s \) and \( t \) are free parameters.
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