Solving the Equation 2x - y = 2
In this article, we will solve the linear equation 2x - y = 2.
What is a Linear Equation?
A linear equation is an equation in which the highest power of the variable (in this case, x and y) 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 variables.
Solving the Equation 2x - y = 2
To solve the equation 2x - y = 2, we need to find the values of x and y that make the equation true.
First, let's add y to both sides of the equation to get:
2x = 2 + y
Next, let's divide both sides of the equation by 2 to get:
x = (2 + y) / 2
Now, we can express y in terms of x by rearranging the equation:
y = 2x - 2
So, we have two possible solutions:
Solution 1: x = (2 + y) / 2 Solution 2: y = 2x - 2
Example
Let's say we want to find the values of x and y when y = 4. We can substitute y = 4 into Solution 1:
x = (2 + 4) / 2 x = 6 / 2 x = 3
Now, we can find the value of y by substituting x = 3 into Solution 2:
y = 2(3) - 2 y = 6 - 2 y = 4
Therefore, when y = 4, x = 3.
Conclusion
In this article, we have solved the linear equation 2x - y = 2. We have found two possible solutions: x = (2 + y) / 2 and y = 2x - 2. By using these solutions, we can find the values of x and y for any given value of y.
