Math Problem Statement
Solve for y: 2y - 16x = 16
Solution
The equation provided is , and we need to solve for in the form .
Let's go through the steps to isolate :
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Start with the given equation:
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Add to both sides:
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Divide the entire equation by 2 to solve for : Simplifying this:
Thus, the equation is .
- The coefficient of is and the constant term is .
Would you like more details or have any questions about this process?
Here are some related questions:
- How do you solve for in a general linear equation?
- What does the slope represent in the equation ?
- How does changing the coefficient of affect the graph of the equation?
- How does the constant term influence the y-intercept?
- How can we check if a point lies on the line represented by the equation ?
Tip: Always simplify your equation as much as possible to avoid calculation errors!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Slope-intercept form: y = mx + b
Theorems
Basic properties of linear equations
Suitable Grade Level
Grades 8-10