Solve: 55+4n = 9n
Answer
n = 11
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 55+4n = 4n + 55
- Expand and simplify the right-hand side: 9n = 9n
- Move every term to one side so the equation reads "...= 0": -5n + 55 = 0
- This is a linear equation of the form an+b=0, with a=-5 and b=55.
- Solve for n: n = -b/a = -(55)/-5 = 11
Theory & Definitions
A linear equation in one unknown can always be rearranged into the form an+b=0 (a≠0), which has exactly one solution: n = -b/a.
Frequently Asked Questions
What is the solution to 55+4n = 9n?
n = 11.