Math Problem Statement
give me answer
What is the best first step in solving the equation 9x - 2 = 6?
Solution
The given equation is .
To solve this, we need to isolate . The first step should be to add 2 to both sides of the equation, so that we remove the -2 from the left-hand side.
- This simplifies to .
Thus, the correct answer is:
Add 2 to both sides of the equation.
Would you like a detailed explanation, or do you have any other questions?
Here are 5 related questions to expand on this:
- What is the next step after adding 2 to both sides in solving this equation?
- How would you solve an equation where the variable appears on both sides?
- Why is it important to perform the same operation on both sides of an equation?
- Can this equation be solved using a different method, like graphing?
- What happens if we divide both sides by 9 first instead of adding 2?
Tip: Always aim to simplify the equation step by step by isolating the variable, starting with addition or subtraction before multiplication or division.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
ax + b = c
Basic equation-solving principles
Theorems
Equality principle (what you do to one side, you must do to the other)
Suitable Grade Level
Grades 6-8