Is (2, 0) a Solution to the Equation x - 2y = 4?
Let's investigate whether the point (2, 0) satisfies the equation x - 2y = 4.
Understanding the Equation
The equation x - 2y = 4 represents a linear equation in two variables, x and y. A solution to this equation is a pair of values for x and y that make the equation true.
Testing the Solution
To determine if (2, 0) is a solution, we will substitute x = 2 and y = 0 into the equation and see if the equation holds true.
- Substitute: 2 - 2(0) = 4
- Simplify: 2 - 0 = 4
- Result: 2 = 4
Conclusion
Since 2 does not equal 4, the equation is not true when x = 2 and y = 0. Therefore, (2, 0) is not a solution to the equation x - 2y = 4.