MathAlgebraLinear algebraSystems of linear equations

Introduction to systems of linear equations

Theory

Solutions of systems of linear equations

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From the following foursomes, choose the one which is a solution of the following system:

{2x1+2x2−x3+5x4=−2−x1+3x2+x3−7x4=−75x1−3x2+10x3+8x4=11−2x1−x2−3x3+x4=−3\begin{cases} 2x_{1} + 2x_{2} - x_{3} + 5x_{4} = -2\\ - x_{1} + 3x_{2} + x_{3} - 7x_{4} = - 7\\ 5x_{1} - 3x_{2} + 10x_{3} + 8x_{4} = 11\\ -2x_{1} - x_{2} - 3x_{3} + x_{4} = -3 \end{cases}

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