{(-1,3),(-1,4),(-1,5),(-1,6)} is the set from the given question which is a set of ordered pairs representing a function.
<h3>What is ordered pair?</h3>
An ordered pair (a, b) in mathematics is a group of two things. The pair's order of objects matters because the ordered pair (a, b) differs from the ordered pair (b, a) unless a = b. (By contrast, an unordered pair of a and b equals an unordered pair of b and a.)
Ordered pairs are also known as 2-tuples, or sequences (or, in computer science, occasionally, lists) of length 2. Sometimes referred to as 2-dimensional vectors, ordered pairs of scalars. Technically speaking, this is a misuse of the term because an ordered pair need not be a component of a vector space. An ordered pair's entries may be other ordered pairs, allowing for the recursive definition of ordered n-tuples (ordered lists of n objects).
Okay, first step, let's get all fractions having a common denominator, to do this, multiply 2/3 by 3 to get 6/9. Now, we have 5/9x-7=6/9. To make these into whole numbers, we can multiply the whole equation by the denominator (9). 5/9x multiplied by 9 is 5. 7 multiplied by 9 is 63. 6/9 multiplied by 9 is 6. Now we have 5x-63=6. If I were to simplify the equation, it would require decimals, so I'll leave it at this, but the equation simplified is x=13.8.