Math Problem Statement

8x+6 = 2y

Solution

To solve the equation 8x+6=2y8x + 6 = 2y for yy, we need to isolate yy.

Steps:

  1. Start with the given equation: 8x+6=2y8x + 6 = 2y

  2. Subtract 6 from both sides to move the constant to the left: 8x=2y68x = 2y - 6

  3. Now divide both sides of the equation by 2 to isolate yy: y=4x+3y = 4x + 3

Thus, the equation solved for yy is: y=4x+3y = 4x + 3

Would you like a detailed explanation of the steps, or do you have any questions?

Here are 5 related questions to consider:

  1. How would you solve for xx in terms of yy?
  2. What is the slope of the line represented by y=4x+3y = 4x + 3?
  3. What are the xx- and yy-intercepts of this line?
  4. How would you graph the equation y=4x+3y = 4x + 3?
  5. How does the form y=4x+3y = 4x + 3 compare to the standard form of a linear equation?

Tip: In linear equations, isolating one variable helps identify the slope and intercepts, which are useful for graphing the equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

y = mx + b (slope-intercept form of a line)

Theorems

Basic algebraic manipulation
Properties of equality

Suitable Grade Level

Grades 7-9