Answer:
(0, -6), (1, -2), (2, 2), (3, 6)
Explanation:
A solution to the given equation will be an (x, y) pair that satisfies the equation. There are an infinite number of possibilities.
How to find a solution
It is generally convenient to find a solution by rewriting the equation so one variable can be found in terms of the other. Here, the coefficient of y is -1, so it is convenient to solve the equation for y:
4x -y = 6
4x -6 = y . . . . . . add y-6 to both sides
y = 4x -6 . . . . . . write with y on the left
Four solutions
This lets us choose any value we like for x, and find the corresponding value of y. We generally prefer small integers, but any value can be chosen. For example, for x=0, we have ...
y = 4(0) -6 = -6
and the corresponding ordered pair is (x, y) = (0, -6).
The attachment shows other (x, y) pairs to be ...
(1, -2), (2, 2), (3, 6)