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Solve for x, y, z
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4-\left(1+\frac{x}{2}\right)=2
Consider the first equation. Multiply both sides of the equation by 2.
4-1-\frac{x}{2}=2
To find the opposite of 1+\frac{x}{2}, find the opposite of each term.
3-\frac{x}{2}=2
Subtract 1 from 4 to get 3.
-\frac{x}{2}=2-3
Subtract 3 from both sides.
-\frac{x}{2}=-1
Subtract 3 from 2 to get -1.
\frac{x}{2}=\frac{-1}{-1}
Divide both sides by -1.
\frac{x}{2}=1
Divide -1 by -1 to get 1.
x=2
Multiply both sides by 2.
y=2
Consider the second equation. Insert the known values of variables into the equation.
z=2
Consider the third equation. Insert the known values of variables into the equation.
x=2 y=2 z=2
The system is now solved.