Question

Write a system of linear equations that has the ordered pair as its solution (1,4)

Answer 1

Since the only information given is that the order pair (1,4) is a solution of the system of linear, we are therefore having an infinite number of options.
The trivial equations would be:
x = 1
y = -4

We can write equations combining both variables as:
y = 4x
y = 3x + 1
y = 2x + 2
y = x + 3
y = -4x + 8
y = -3x + 7
y = -2x + 6
y = -x + 5

All the above can be used as linear equations of the line and would have (1,4) as a solution.
In order to define the exact line, we need at least two points, which are not given in this question.