It is 5x+y
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The solution is (x, y, z) = (2.5, 1, 2.5).
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2x - y = 2 2x - y = -2 This system is inconsistent -- that is, there is no solution. To help see why, let Z = 2x - y and notice Z can't be 2 and -2 at the same time.
3x + 4y - 5z and -2x - 5y + 4z Added together, give (3-2)x + (4-5)y + (-5+4)z = x - y - z