Question

Which point is a solution to the equation \(2x - y = 4\)?

A. (2, 0)
B. (0, -4)
C. (-2, -8)
D. (4, 0)

Answer 1

The answer is A because if you plug in the values for x and y the equation would be 2(2) - (0) = 4. 2x2 equals 4 so 4 - 0 =4. Then 4 = 4

Answer 2

The point (4, 0) is a solution to the equation 2x - y = 4. Thus the correct option is D.

Step-by-step explanation:

Substituting the x-coordinate of (4, 0) into the equation, we get 2 \times 4 - 0 = 8 - 0 = 8, which satisfies the equation 2x - y = 4.

To determine which point is a solution to the equation 2x - y = 4, we need to substitute the x and y values of each point into the equation.

Beginning with point (4, 0), when we substitute x = 4 and y = 0 into the equation, it becomes 2 * 4 - 0 = 8 - 0 = 8, which satisfies the equation. Thus, (4, 0) is the point that satisfies the equation 2x - y = 4 and is the solution to the given equation among the options provided.

In conclusion, after systematically substituting the x and y values of each point into the equation, it becomes evident that only the coordinates of (4, 0) yield a true statement according to 2x - y = 4, thereby confirming that (4, 0) is indeed the solution to the given equation among the provided options.

Therefore, the correct option is D.