# Solve for the variables x1, x2, x3 and x4 given that: 2x1 + x3 + 3x4 = 0 2x2 - x1 - x3 - 2x4 = 2 x1 - x2 + x4 = 2

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### 1 Answer

The equations to be solved for x1, x2, x3 and x4 are

2x1 + x3 + 3x4 = 0 ...(1)

2x2 - x1 - x3 - 2x4 = 2 ...(2)

x1 - x2 + x4 = 2 ...(3)

To find a unique solution the number of independent equations must be equal to the number of variable. In the problem, there are 4 variables and only 3 independent equations that have the variables.

**It is not possible to find a unique solution for the variables.**