Math Problem Statement
What is the solution set of the given equation? 4y - 6y + 9y = -2
Solution
The equation given in the image is:
Let's simplify the left-hand side of the equation:
So, the equation becomes:
To solve for , divide both sides by 7:
Thus, the solution set of the equation is:
Would you like more details on this solution? Here are five related questions:
- How would you verify the solution to a linear equation?
- What are the steps for simplifying expressions like ?
- How does dividing both sides of an equation work when solving for a variable?
- What are some common mistakes to avoid when simplifying linear equations?
- Can you apply this method to solve more complex equations?
Tip: Always combine like terms first when solving algebraic equations to simplify the expression efficiently.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Simplifying Expressions
Formulas
Simplification of like terms
Solving for a variable in a linear equation
Theorems
Properties of Equality
Suitable Grade Level
Grades 6-8