Solving the Equation 5x - 1/2y = 3 for y
In this article, we will solve the equation 5x - 1/2y = 3 for y. This equation involves a variable y and a coefficient of -1/2. We will use basic algebraic operations to isolate y and find its value.
Step 1: Add 1/2y to both sides
First, we will add 1/2y to both sides of the equation to get rid of the negative term:
5x - 1/2y + 1/2y = 3 + 1/2y
This simplifies to:
5x = 3 + 1/2y
Step 2: Subtract 3 from both sides
Next, we will subtract 3 from both sides of the equation to isolate the term with y:
5x - 3 = 1/2y
Step 3: Multiply both sides by 2
Now, we will multiply both sides of the equation by 2 to eliminate the fraction:
10x - 6 = 2y
Step 4: Divide both sides by 2
Finally, we will divide both sides of the equation by 2 to solve for y:
y = (10x - 6) / 2
Therefore, the value of y is (10x - 6) / 2.
Conclusion
In this article, we have successfully solved the equation 5x - 1/2y = 3 for y. The value of y is expressed in terms of x, and it is equal to (10x - 6) / 2.
