Question

Find the value of \( x \) that satisfies the equation \( \frac{3x - 4}{2} = 5 \).

• A. \( x = 3 \)
• B. \( x = 4 \)
• C. \( x = 2 \)
• D. \( x = 5 \)

Hint:

To solve equations with fractions, multiply both sides by the denominator to eliminate it first.

Answer 1

The Correct Option is A

Step 1: Multiply both sides of the equation by 2 We are given the equation: \[ \frac{3x - 4}{2} = 5 \] To eliminate the fraction, multiply both sides of the equation by 2: \[ 3x - 4 = 10 \] Step 2: Solve for \( x \) Now, add 4 to both sides of the equation: \[ 3x = 14 \] Next, divide both sides by 3: \[ x = \frac{14}{3} \] Answer: Therefore, the value of \( x \) is \( \frac{14}{3} \). So, the correct answer is option (1).