What is the solution for X in the equation: 2X - 1/3 = 1/3?

What is the solution for X in the equation: 2X - 1/3 = 1/3?

• A. X equals 0
• B. X equals 1/6
• C. X equals 1/3
• D. X equals 1/2

Answer: (C)

To solve the equation \( 2X - \frac{1}{3} = \frac{1}{3} \), we start by isolating the term with \( X \). First, we can add \( \frac{1}{3} \) to both sides of the equation: \[ 2X - \frac{1}{3} + \frac{1}{3} = \frac{1}{3} + \frac{1}{3} \] This simplifies to: \[ 2X = \frac{2}{3} \] Next, we solve for \( X \) by dividing both sides by 2: \[ X = \frac{2/3}{2} \] Dividing \( \frac{2}{3} \) by 2 is the same as multiplying by \( \frac{1}{2} \): \[ X = \frac{2}{3} \times \frac{1}{2} = \frac{2 \times 1}{3 \times 2} = \frac{2}{6} = \frac{1}{3} \] Thus, the solution for \( X \) is \( \frac{1}{3

To solve the equation ( 2X - \frac{1}{3} = \frac{1}{3} ), we start by isolating the term with ( X ). First, we can add ( \frac{1}{3} ) to both sides of the equation:

[

2X - \frac{1}{3} + \frac{1}{3} = \frac{1}{3} + \frac{1}{3}

]

This simplifies to:

[

2X = \frac{2}{3}

]

Next, we solve for ( X ) by dividing both sides by 2:

[

X = \frac{2/3}{2}

]

Dividing ( \frac{2}{3} ) by 2 is the same as multiplying by ( \frac{1}{2} ):

[

X = \frac{2}{3} \times \frac{1}{2} = \frac{2 \times 1}{3 \times 2} = \frac{2}{6} = \frac{1}{3}

]

Thus, the solution for ( X ) is ( \frac{1}{3