-is-the-solution-of-the-equation-x-2y%3D4.jpeg "(4 0) Is The Solution Of The Equation X-2y=4")
Solving the Equation: x - 2y = 4
In this article, we will explore the solution to the equation x - 2y = 4. This is a simple linear equation in two variables, and we can solve it using basic algebraic methods.
The Equation
The given equation is:
x - 2y = 4
Solving for x
To solve for x, we can add 2y to both sides of the equation, which results in:
x = 2y + 4
Solving for y
To solve for y, we can rearrange the equation to isolate y. We can subtract x from both sides of the equation and then divide both sides by -2, which results in:
y = (x - 4) / 2
The Solution
Now, let's find the solution to the equation. We are given that (4, 0) is the solution of the equation x - 2y = 4.
Verifying the Solution
Let's plug in x = 4 and y = 0 into the equation to verify that it is indeed a solution:
4 - 2(0) = 4 4 = 4
The equation holds true, which means that (4, 0) is indeed a solution to the equation x - 2y = 4.
Conclusion
In conclusion, we have solved the equation x - 2y = 4 and found that (4, 0) is one of its solutions. This equation is a simple example of a linear equation in two variables, and its solution can be found using basic algebraic methods.
