What is the solution to the system of equations?
y = -5x + 30
x = 10
(–20. 10)
(10, -20)
(10, 4)
(4, 10)

Apply substitution

y = -5x + 30

y = -5*10 + 30 ... replace x with 10, since x = 10 is given

y = -50 + 30

y = -20

So x = 10 and y = -20 pair up to form the solution of the system.

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:

i think the answer is b