-is-the-solution-of-the-equation-x-2y%3D4.jpeg "(2 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.
Given Equation
The given equation is:
x - 2y = 4
Objective
Our objective is to find the value of x and y that satisfies the given equation.
Solution
To solve for x and y, we can use the method of substitution or elimination. Here, we will use the substitution method.
Let's assume that x = 2y + 4 (since x - 2y = 4)
Now, we can rewrite the equation as:
x = 2y + 4
Substituting x
Substituting x = 2y + 4 in the original equation, we get:
(2y + 4) - 2y = 4
Simplifying
Simplifying the equation, we get:
4 = 4
Solution
This implies that the equation x - 2y = 4 is an identity, and any value of x and y satisfies the equation.
Particular Solution
One particular solution to the equation is x = 0 and y = -2.
Verification
Let's verify the solution by plugging in x = 0 and y = -2 in the original equation:
0 - 2(-2) = 4
4 = 4
The equation is satisfied, and hence, x = 0 and y = -2 is a particular solution to the equation.
Conclusion
In conclusion, the equation x - 2y = 4 has a particular solution x = 0 and y = -2, and any value of x and y satisfies the equation.
