MathAlgebraLinear algebraSystems of linear equations

Introduction to systems of linear equations

Systems of linear equations

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From the following list choose those systems which are systems of linear equations.

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\begin{cases}x^{3} = 1\\ x - 1/y= 0 \\ z = 5 - y \end{cases}

\begin{cases}x - 2y = -3 \\ x^{2} + y^{2} = 1\end{cases}

\begin{cases}x_{1} - 2x_{2} + x_{3} = 5 \\ x_{1} - x_{2}= - 1\\ x_{2} + 3x_{3} - 8x_{1} = - 6 \end{cases}

\begin{cases}2t - s = 5 \\ t + s = 2\end{cases}

\begin{cases}\frac{1}{2}x - \frac{4}{7}y - 3z = -\frac{5}{11} \\ \frac{5}{14}x + y + \frac{2}{5}z= -\frac{13}{15}\end{cases}

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