Math Problem Statement

Solve for y: 2y - 16x = 16

Solution

The equation provided is 2y16x=162y - 16x = 16, and we need to solve for yy in the form y=mx+by = mx + b.

Let's go through the steps to isolate yy:

  1. Start with the given equation: 2y16x=162y - 16x = 16

  2. Add 16x16x to both sides: 2y=16x+162y = 16x + 16

  3. Divide the entire equation by 2 to solve for yy: y=16x+162y = \frac{16x + 16}{2} Simplifying this: y=8x+8y = 8x + 8

Thus, the equation is y=8x+8y = 8x + 8.

  • The coefficient of xx is 88 and the constant term is 88.

Would you like more details or have any questions about this process?

Here are some related questions:

  1. How do you solve for yy in a general linear equation?
  2. What does the slope represent in the equation y=mx+by = mx + b?
  3. How does changing the coefficient of xx affect the graph of the equation?
  4. How does the constant term bb influence the y-intercept?
  5. How can we check if a point lies on the line represented by the equation y=8x+8y = 8x + 8?

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