Math Problem Statement

2x - 3y = -12

Solution

You have the linear equation:

2x3y=122x - 3y = -12

To solve for one of the variables, we need more information, such as a second equation for a system of linear equations. However, if you're looking to express one variable in terms of the other, we can do that.

Let’s solve for xx in terms of yy:

Step 1: Isolate xx

2x=3y122x = 3y - 12

Step 2: Divide both sides by 2

x=3y122x = \frac{3y - 12}{2}

Thus, xx is expressed as:

x=3y122x = \frac{3y - 12}{2}

Alternatively, we could solve for yy in terms of xx. Would you like to do that, or need help with something else?


Related Questions:

  1. How do we solve a system of equations with two variables?
  2. How can we graph the equation 2x3y=122x - 3y = -12?
  3. What is the slope of the line represented by this equation?
  4. How do we check if a point satisfies the equation 2x3y=122x - 3y = -12?
  5. What does the equation 2x3y=122x - 3y = -12 represent in terms of intercepts?

Tip: When solving linear equations, it's often useful to express the equation in slope-intercept form (y=mx+by = mx + b) for easier graphing.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Solving for Variables

Formulas

2x - 3y = -12
x = (3y - 12)/2

Theorems

Isolating variables
Solving linear equations

Suitable Grade Level

Grades 7-9