Question
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Tutor-Verified Answer
Answer
\( h = 2C - w \)
Solution
Solve the equation \( C=\frac{h+w}{2} \).
Solve the equation by following steps:
- step0: Solve for \(h\):
\(C=\frac{h+w}{2}\)
- step1: Swap the sides:
\(\frac{h+w}{2}=C\)
- step2: Cross multiply:
\(h+w=2C\)
- step3: Move the constant to the right side:
\(h=2C-w\)
The solution to the equation \( C=\frac{h+w}{2} \) for \( h \) is \( h=2C-w \).
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Simplify this solution Extra Insights
To solve for \( h \) in the equation \( C = \frac{h+w}{2} \), we first multiply both sides by 2 to eliminate the fraction: \[ 2C = h + w. \] Next, we isolate \( h \) by subtracting \( w \) from both sides: \[ h = 2C - w. \] And there you have it! The expression for \( h \) in terms of \( C \) and \( w \) is \( h = 2C - w \).
