2x - 4y = 3: Solving the Equation
In this article, we will discuss the solution to the linear equation 2x - 4y = 3.
What is a Linear Equation?
A linear equation is an equation in which the highest power of the variable(s) is 1. In other words, a linear equation can be written in the form:
ax + by = c
where a, b, and c are constants, and x and y are the variables.
Solving the Equation 2x - 4y = 3
To solve the equation 2x - 4y = 3, we need to find the values of x and y that satisfy the equation.
Method 1: Graphical Method
One way to solve the equation is by using the graphical method. We can plot the equation on a graph and find the point of intersection.
To do this, we can rewrite the equation in the form:
y = (2x - 3)/4
By plotting this equation on a graph, we can find the point of intersection, which represents the solution to the equation.
Method 2: Algebraic Method
Another way to solve the equation is by using the algebraic method. We can add 4y to both sides of the equation to get:
2x = 4y + 3
Next, we can divide both sides of the equation by 2 to get:
x = (4y + 3)/2
Now, we can express y in terms of x by rearranging the equation to get:
y = (2x - 3)/4
Conclusion
In this article, we have discussed two methods for solving the linear equation 2x - 4y = 3. By using the graphical method or the algebraic method, we can find the solution to the equation, which represents the point of intersection of the two lines.
Solution
The solution to the equation 2x - 4y = 3 is:
x = (4y + 3)/2 y = (2x - 3)/4
These two equations represent the solution to the equation 2x - 4y = 3.
