Solve: 4z = -15+z
Answer
z = -5
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 4z = 4z
- Expand and simplify the right-hand side: -15+z = z - 15
- Move every term to one side so the equation reads "...= 0": 3z + 15 = 0
- This is a linear equation of the form az+b=0, with a=3 and b=15.
- Solve for z: z = -b/a = -(15)/3 = -5
Theory & Definitions
A linear equation in one unknown can always be rearranged into the form az+b=0 (a≠0), which has exactly one solution: z = -b/a.
Frequently Asked Questions
What is the solution to 4z = -15+z?
z = -5.