Solving for y in the Equation 5x + 2y = 3
In this article, we will learn how to solve for y in the linear equation 5x + 2y = 3.
What is the given equation?
The given equation is:
5x + 2y = 3
Objective:
Our objective is to solve for y in terms of x.
Step-by-Step Solution:
To solve for y, we need to isolate y on one side of the equation. We can do this by subtracting 5x from both sides of the equation, which gives us:
2y = -5x + 3
Next, we need to divide both sides of the equation by 2 to get y alone:
y = (-5x + 3) / 2
Simplified Solution:
The final solution is:
y = (-5/2)x + 3/2
Therefore, we have successfully solved for y in terms of x.
Conclusion:
In this article, we learned how to solve for y in the linear equation 5x + 2y = 3. By following the steps outlined above, we were able to isolate y and express it in terms of x. This is an important concept in algebra and is widely used in various mathematical models and applications.
