Solve for z.
2/3 = 2 + 3/2 – 1/2
z = __
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To solve for ( z ) in the equation ( frac{2}{3} = 2 + frac{3}{2} – frac{1}{2} ), we first simplify the right side:
1. Combine ( frac{3}{2} ) and ( -frac{1}{2} ):
[
frac{3}{2} – frac{1}{2} = frac{2}{2} = 1
]
2. Add ( 2 + 1 ):
[
2 + 1 = 3
]
So, the equation simplifies to:
[
frac{2}{3} = 3
]
This is not correct as ( frac{2}{3} neq 3 ). This indicates there may be a misunderstanding, or that no solution exists for the variable ( z ) based on this equation.
If you have additional context or a different equation to solve for ( z ), please provide it!