Solve: 9x+16 = 64
Answer
x = 5.3333333333
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 9x+16 = 9x + 16
- Expand and simplify the right-hand side: 64 = 64
- Move every term to one side so the equation reads "...= 0": 9x - 48 = 0
- This is a linear equation of the form ax+b=0, with a=9 and b=-48.
- Solve for x: x = -b/a = -(-48)/9 = 5.3333333333
Theory & Definitions
A linear equation in one unknown can always be rearranged into the form ax+b=0 (a≠0), which has exactly one solution: x = -b/a.
Frequently Asked Questions
What is the solution to 9x+16 = 64?
x = 5.3333333333.