Math Problem Statement

give me answer

What is the best first step in solving the equation 9x - 2 = 6?

Solution

The given equation is 9x2=69x - 2 = 6.

To solve this, we need to isolate xx. 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.

  • 9x2+2=6+29x - 2 + 2 = 6 + 2
  • This simplifies to 9x=89x = 8.

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:

  1. What is the next step after adding 2 to both sides in solving this equation?
  2. How would you solve an equation where the variable appears on both sides?
  3. Why is it important to perform the same operation on both sides of an equation?
  4. Can this equation be solved using a different method, like graphing?
  5. 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