-is-a-solution-for-x-2y%3D4.jpeg "(0 2) Is A Solution For X-2y=4")
Is (0, 2) a Solution for x - 2y = 4?
In algebra, solving linear equations is a fundamental concept. In this article, we will explore whether (0, 2) is a solution for the equation x - 2y = 4.
What is a Solution?
A solution to an equation is a value or values that make the equation true. In the case of linear equations, a solution is an ordered pair (x, y) that satisfies the equation.
The Equation: x - 2y = 4
Let's take a closer look at the equation x - 2y = 4. This is a linear equation in two variables, where x and y are the variables.
Is (0, 2) a Solution?
To determine if (0, 2) is a solution, we need to plug in x = 0 and y = 2 into the equation and see if it is true.
x - 2y = 4 0 - 2(2) = 4 0 - 4 = 4 -4 = 4
The Answer
As we can see, -4 is not equal to 4. Therefore, (0, 2) is not a solution to the equation x - 2y = 4.
Conclusion
In conclusion, (0, 2) does not satisfy the equation x - 2y = 4, and therefore, it is not a solution. This exercise demonstrates the importance of plugging in values to determine whether they satisfy a given equation.
