What coordinate pair satisfies both 5x - 3y=22 and -4x + y=-19

hello : coordinate pair is:  (5 ; 1)

Step-by-step explanation:

you have this system :

5x - 3y=22 (1)

-4x + y= -19(2)

by (2) : y = 4x -19

put y in (1) : 5x - 3 (4x -19) =22

5x -12x +57 = 22

- 7x = -35

x = 5

but : y = 4x -19  so : y = 4(5) -19   = 1

coordinate pair is:  (5 ; 1)

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: