Question

If 4x + 1 = 9, what is the value of x?

• A. 2
• B. 2 1/2
• C. 4/5
• D. 5/4
• E. 5/2

Hint:

Always check your answer. Plug \(x=2\) back into the equation: \(4(2) + 1 = 8 + 1 = 9\). The equation holds true, confirming the answer is correct.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
This is a two-step linear equation requiring us to solve for the variable \(x\).
Step 2: Key Formula or Approach:
We will use inverse operations to isolate \(x\). First, we'll undo the addition, and then we'll undo the multiplication.
Step 3: Detailed Explanation:
Given the equation:
\[ 4x + 1 = 9 \]
First, subtract 1 from both sides of the equation:
\[ 4x + 1 - 1 = 9 - 1 \]
\[ 4x = 8 \]
Next, divide both sides by 4 to find \(x\):
\[ \frac{4x}{4} = \frac{8}{4} \]
\[ x = 2 \]
Step 4: Final Answer:
The value of \(x\) is 2, which corresponds to option (A).