Final answer:
The equation '5x - 9y = 16 = 36' seems to contain a typo and is inconsistent in its current form, generally implying there is no solution. Without the typo, '5x - 9y = 16' would typically have a single solution.
Step-by-step explanation:
The equation 5x - 9y = 16 appears to have typos or additional irrelevant numbers included as it is followed by \"= 36\". An equation typically has only one equal sign, so this seems to be an error. Assuming the equation should be 5x - 9y = 16, this is a linear equation and should have a single solution for any given pair of values (x, y) that satisfy it.
Now, if there is a typo, and the equation was meant to be 5x - 9y = 36, then the solution would depend on the merger of these two equations. If both are valid, the system of equations is inconsistent and thus has no solution because the same pair of variables cannot yield two different constants in a single linear equation.
To solve for x and y, we would typically manipulate the equation into slope-intercept form (y = mx + b) or use substitution or elimination if dealing with a system of equations.
If there is no typo and the equation is indeed inconsistent, the conclusion would be that there is no solution to the given mathematical statement.