Answer
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Work Step by Step
$2x-4y+8z = 2$ Equation $(1)$
$-x-3y+z = 11$ Equation $(2)$
$x-2y+4z = 0$ Equation $(3)$
Multiply Equation $(3) $ by $-2$ and add with Equation $(1)$
$-2(x-2y+4z)+2x-4y+8z = -2(0)+2$
$-2x+4y-8z+2x-4y+8z = 0+2$
$0= 2$
This is false statement. So, this system of equations is inconsistent and has no solution. Solution set is empty set.
