Math Problem Statement
Solve the equation 3x + 2y = 12.
Solution
The image shows the equation:
It looks like the task involves solving the equation for one variable or rearranging it to isolate one of the variables. Let me know if you'd like to isolate or , or if there's another operation you want to perform with this equation. Here's the general process for isolating :
To solve for :
- Subtract from both sides:
- Divide both sides by 2:
Would you like further steps or explanations on this? Also, here are five related questions:
- How do you isolate instead of in the same equation?
- What does solving for represent graphically for this equation?
- How would you solve the equation if and both had fractions?
- What methods can you use to check your solution for correctness?
- How can this equation be used to model real-world problems?
Tip: Always perform the same operation on both sides of an equation to keep it balanced.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Standard form of a linear equation: Ax + By = C
Isolating a variable: Subtraction and Division
Theorems
Linear equation solving methods
Suitable Grade Level
Grades 7-9