Math Problem Statement

3x-2y=6

Solution

The given equation is:

3x2y=63x - 2y = 6

If you'd like, I can help you solve this equation in multiple ways, such as:

  1. Solve for yy in terms of xx (finding the slope-intercept form).
  2. Solve for xx in terms of yy.
  3. Plot the equation graphically.
  4. Use this equation in a system of equations if you have another one.

Which of these would you prefer, or do you have a different method in mind?


Here are 5 related questions to expand on this topic:

  1. What is the slope of the line represented by the equation 3x2y=63x - 2y = 6?
  2. How would you find the intercepts of this line with the x-axis and y-axis?
  3. Can you rewrite this equation in slope-intercept form?
  4. If we had a second equation, how would you solve the system?
  5. How can you determine if a point lies on the line represented by this equation?

Tip: When solving linear equations, isolating one variable often simplifies the process.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form
Standard Form of a Line

Formulas

Slope-intercept form: y = mx + b
Standard form of a linear equation: Ax + By = C

Theorems

Linear Equation Theorem
Slope-Intercept Theorem

Suitable Grade Level

Grades 8-10