2(×+5)-7=3x+2(x-5) solve the problem show your work do not solve for x

Step-by-step explanation:

-2(x+5)-7=3x+2(x-5) . . . . starting equation

-2x -10 -7 = 3x +2x -10 . . . eliminate parentheses using the distributive property

-2x -17 = 5x -10 . . . . . . . . . collect terms

-7 -2x = 5x . . . . . . . . . . . . . add 10

-7 = 7x . . . . . . . . . . . . . . . . . add 2x

-1 = x . . . . . . . . . . . . . . . . . . . divide by 7

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: