Solve: h/2-13/2 = 56/4
Answer
h = 41
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: h/2-13/2 = 0.5h - 6.5
- Expand and simplify the right-hand side: 56/4 = 14
- Move every term to one side so the equation reads "...= 0": 0.5h - 20.5 = 0
- This is a linear equation of the form ah+b=0, with a=0.5 and b=-20.5.
- Solve for h: h = -b/a = -(-20.5)/0.5 = 41
Theory & Definitions
A linear equation in one unknown can always be rearranged into the form ah+b=0 (a≠0), which has exactly one solution: h = -b/a.
Frequently Asked Questions
What is the solution to h/2-13/2 = 56/4?
h = 41.