Solving the Equation 1/2k = 3/4k - 1/2 ==================================================================(h2)
In this article, we will solve the equation 1/2k = 3/4k - 1/2. This equation involves fractions and variables, and we will use basic algebraic operations to find the value of k.
Simplifying the Equation
Let's start by simplifying the equation:
1/2k = 3/4k - 1/2
To simplify the equation, we can start by multiplying both sides by 4 to eliminate the fractions:
2k = 3k - 2
Solving for k
Now, we can solve for k by adding 2 to both sides of the equation:
2k + 2 = 3k
Subtracting 2k from both sides gives us:
2 = k
Therefore, the value of k is 2.
Conclusion
In conclusion, we have successfully solved the equation 1/2k = 3/4k - 1/2 and found that the value of k is 2. This equation required us to use basic algebraic operations such as multiplication and addition to simplify and solve for k.
