Linear system solving

Solve the linear system of equations by Gaussian elimination:

3x1 −2x2 −5x3 + x4 = 3
2x1 −3x2 + x3 + 5x4 = −3
x1 + 2x2 −4x4 = −3
x1 - x2 −4x3 + 9x4 = 22

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