2,72 and 5,180 are solutions to y = 36x, as confirmed by substitution. Pairs not satisfying the equation, e.g., (4,40), are eliminated.
To find the solution to the given equation, y = 36x, we substitute the x and y values from the ordered pairs (2,72) and (5,180) to check their validity.
For the pair (2,72), when we substitute, we get 72 = 36 * 2, which is true.
For the pair (5,180), the substitution gives 180 = 36 * 5, which is also true.
This confirms that both ordered pairs satisfy the equation. The implication is that any pair (x, y) that makes the equation y = 36x true is a solution. However, as mentioned, for a different pair like (4,40), the substitution results in 40 ≠ 36 * 4, which is false.
The ordered pairs (2,72) and (5,180) are the solutions to the equation y = 36x, while other pairs that do not satisfy this equation, like (4,40), are eliminated from consideration.