To find an ordered pair (x, y) that satisfies the equation x = 2y², we can choose a value for y and then calculate the corresponding value for x.
For instance, if we let y = 1, we can substitute this value into the equation:
x = 2(1)²
This simplifies to:
x = 2
So, one ordered pair that is a solution to the equation is (2, 1).
We can also check what happens if we try another value, for example, y = 2:
x = 2(2)²
This gives us:
x = 8
Thus, another solution would be the ordered pair (8, 2).
In general, any value of y will yield a corresponding value of x using this formula, meaning there are infinitely many ordered pairs that can be solutions to this equation.