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Solve for x, y, z
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y=1-|1|
Consider the second equation. Insert the known values of variables into the equation.
y=1-1
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 1 is 1.
y=0
Subtract 1 from 1 to get 0.
z=0
Consider the third equation. Insert the known values of variables into the equation.
x=1 y=0 z=0
The system is now solved.