Rational Equation solve:
x/2 - 1/3 = x/4
I got 4/3
That's better.
multiply each term by 12 , the LCD
6x - 4 = 3x
3x = 4
x = 4/3
you are correct.
Thank You Reiny
To solve the rational equation (x/2) - (1/3) = (x/4), we need to find the value of x that makes the equation true. Here's how you can solve it step by step:
Step 1: Clear the denominators.
To eliminate the denominators, we can multiply every term in the equation by the least common multiple (LCM) of the denominators (2, 3, and 4). The LCM of 2, 3, and 4 is 12.
Multiply each term by 12:
12 * (x/2) - 12 * (1/3) = 12 * (x/4)
This simplifies to:
6x - 4 = 3x
Step 2: Combine like terms.
On the left side of the equation, we have 6x - 4. On the right side, we have 3x. To solve for x, we need to get the x terms on one side of the equation and the constant terms on the other side.
Subtract 3x from both sides:
6x - 3x - 4 = 3x - 3x
Simplifying this gives us:
3x - 4 = 0
Step 3: Isolate x.
To isolate x, we need to move the constant term (in this case, -4) to the other side of the equation.
Add 4 to both sides:
3x - 4 + 4 = 0 + 4
Simplifying this yields:
3x = 4
Step 4: Solve for x.
To solve for x, we need to isolate the variable by dividing both sides of the equation by the coefficient of x, which is 3.
Divide both sides by 3:
(3x) / 3 = 4 / 3
This simplifies to:
x = 4/3
Therefore, the solution to the rational equation (x/2) - (1/3) = (x/4) is x = 4/3. So, your answer is correct!