What is the solution to the system of linear equations?

(–3, 0)
(–3, 3)
(0, 2)
(3, 1)

The correct answer is (0,2).

Step-by-step explanation:

The geometric interpretation of a solution set for two variables (x and y) system of linear equations is the intersection of the lines.

Three cases:

If the lines are parallel, never intersect between them, the system is indeterminate and have an empty solution set.

If the lines are parallel and all points touch each other, the system is indeterminate and have an infinite solution set.

If the lines are not parallel, then only one point touch each other, the system is determinate and have only 1 solution.

For this case, f(x) intersects g(x) on point (0,2).

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: