How can 1/2x - 5 = 1/3x + 6 be set up as a system of equations?

a: 2y+x = -10
3y+x = 18

b: 2y+2x = -10
3y+3x = 18

c: 2y-x = -10
3y-x=18

d: 2y-2x = -10
3y-3x= 18

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:

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step-by-step explanation: