(Solution) - Find the vector form of the solutions to the system -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Find the vector form of the solutions to the system of equations below.
-2x1 - 1x2 - 8x3 + 8x4 + 4x5 - 9x6 - 1x7 - 1x8 - 18x9 = 3
3x1 - 2x2 + 5x3 + 2x4 - 2x5 - 5x6 + 1x7 + 2x8 + 15x9 = 10
4x1 - 2x2 + 8x3 + 2x5 - 14x6 - 2x8 + 2x9 = 36
-1x1 + 2x2 + 1x3 - 6x4 + 7x6 - 1x7 - 3x9 = -8
3x1 + 2x2 + 13x3 - 14x4 - 1x5 + 5x6 - 1x8 + 12x9 = 15
-2x1 + 2x2 - 2x3 - 4x4 + 1x5 + 6x6 - 2x7 - 2x8 - 15x9 = -7