Math Problem Statement

2x-2y=-6

Solution

To solve the equation 2x2y=62x - 2y = -6, we can either solve for one variable in terms of the other (typically solving for yy in terms of xx), or work with a system of equations if there's another equation provided.

Solving for yy in terms of xx:

  1. Start with the given equation: 2x2y=62x - 2y = -6

  2. Divide the entire equation by 2 to simplify: xy=3x - y = -3

  3. Solve for yy: y=x+3y = x + 3

Thus, the equation y=x+3y = x + 3 represents the solution for yy in terms of xx.

Would you like to see more details or have further questions?

Here are 5 related questions:

  1. How do you graph the equation y=x+3y = x + 3?
  2. What is the slope and y-intercept of y=x+3y = x + 3?
  3. How would you solve for xx if a value for yy is given?
  4. Can you solve this equation using a substitution method if another equation is given?
  5. How does the equation y=x+3y = x + 3 compare to other linear equations?

Tip: When solving linear equations, it's often useful to first simplify the equation by factoring or dividing terms!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Linear equation: ax + by = c

Theorems

Properties of linear equations

Suitable Grade Level

Grades 7-9