Math Problem Statement

3x-2y-8=0

Solution

The equation you've provided is:

3x2y8=03x - 2y - 8 = 0

To solve for one variable in terms of the other, we can isolate either xx or yy. Let's solve for yy in terms of xx:

  1. First, add 8 to both sides of the equation:

3x2y=83x - 2y = 8

  1. Next, subtract 3x3x from both sides:

2y=3x+8-2y = -3x + 8

  1. Now, divide both sides by -2 to isolate yy:

y=3x82y = \frac{3x - 8}{2}

This is the expression for yy in terms of xx.

Would you like to solve for xx instead, or need further clarification? Feel free to ask!

Here are some related questions:

  1. How would you solve for xx in terms of yy from this equation?
  2. What would the graph of this linear equation look like?
  3. How do you find the slope and y-intercept of this linear equation?
  4. If you substitute a specific value for xx, what is the value of yy?
  5. What would the equation represent if it was written in slope-intercept form?

Tip: For linear equations like this one, isolating one variable is a great way to understand the relationship between xx and yy.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Solving for a Variable

Formulas

Linear equation formula
Solving for one variable in terms of another

Theorems

Isolating variables
Linear equation graphing

Suitable Grade Level

Grades 7-9