Final answer:
To solve the equation 2x-2y=6, rearrange the equation to isolate y. The answer is any point (x, y) that lies on the line y = x - 3.
Step-by-step explanation:
To solve the equation 2x-2y=6, we need to find the values of x and y that satisfy the equation.
We can rearrange the equation to isolate y:
2y = 2x - 6
y = (2x - 6) / 2
y = x - 3
This equation represents a straight line with a slope of 1 and a y-intercept of -3.
Therefore, any point on this line will satisfy the equation 2x-2y=6.
For example, if we let x = 0, then y = -3. If we let x = 3, then y = 0.
So, the answer to the equation 2x-2y=6 is any point (x, y) that lies on the line y = x - 3.