Solve for v.
1/2 + 8 = 3 – 1/3 v
v = ___.
Submit
Solve for v: 1/2 + 8 = 3 – 1/3 v. v = ___. Submit.
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Solve for v.
1/2 + 8 = 3 – 1/3 v
v = ___.
Submit
To solve the equation ( frac{1}{2} + 8 = 3 – frac{1}{3} v ), follow these steps:
1. Combine like terms on the left side:
[
frac{1}{2} + 8 = frac{1}{2} + frac{16}{2} = frac{17}{2}
]
So, the equation becomes:
[
frac{17}{2} = 3 – frac{1}{3} v
]
2. Isolate the term with ( v ) on one side. First, subtract 3 from both sides:
[
frac{17}{2} – 3 = -frac{1}{3} v
]
Convert 3 to a fraction with a denominator of 2:
[
3 = frac{6}{2} Rightarrow frac{17}{2} – frac{6}{2} = frac{11}{2}
]
So, now we have:
[
frac{11}{2} = -frac{1}{3} v
]
3. Multiply both sides by ( -3 ) to solve for ( v ):
[
v = -3 times frac{11}{2} =