2x - 2y = 4: Finding the Solution
In this article, we will explore the solution to the linear equation 2x - 2y = 4.
Understanding the Equation
The given equation is a linear equation in two variables, x and y. It can be written in the standard form:
ax + by = c
where a, b, and c are constants. In this case, a = 2, b = -2, and c = 4.
Solving the Equation
To solve for x and y, we can use various methods, such as substitution, elimination, or graphing. Here, we will use the substitution method.
Step 1: Choose a Variable to Isolate
Let's choose to isolate x. We can do this by adding 2y to both sides of the equation, which results in:
2x = 4 + 2y
Step 2: Solve for x
Now, we can divide both sides of the equation by 2, which gives us:
x = 2 + y
Step 3: Express y in Terms of x
To express y in terms of x, we can rearrange the equation to isolate y:
y = x - 2
The Solution
Therefore, the solution to the equation 2x - 2y = 4 is:
x = 2 + y
y = x - 2
This solution indicates that the values of x and y are dependent on each other, and we can find one variable in terms of the other.
Conclusion
In conclusion, we have successfully solved the linear equation 2x - 2y = 4 using the substitution method. The solution shows that x and y are dependent variables, and we can express one in terms of the other.
