Solve: k/4+4 = 20
Answer
k = 64
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: k/4+4 = 0.25k + 4
- Expand and simplify the right-hand side: 20 = 20
- Move every term to one side so the equation reads "...= 0": 0.25k - 16 = 0
- This is a linear equation of the form ak+b=0, with a=0.25 and b=-16.
- Solve for k: k = -b/a = -(-16)/0.25 = 64
Theory & Definitions
A linear equation in one unknown can always be rearranged into the form ak+b=0 (a≠0), which has exactly one solution: k = -b/a.
Frequently Asked Questions
What is the solution to k/4+4 = 20?
k = 64.