The first equation is 3x + 2y = 17 and the second equation is -2x - y = -12. What would I have to multiply the second equation by so I could add andeliminate the y's.

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Multiply the second equation by 2

Step-by-step explanation:

If you do that you will get 2y in the first equation and -2y in the second equation. then, you can add the 2 equations to get rid of y.

2

Step-by-step explanation:

For elimination problems, you have to have the variables that you want to cancel out equal in value but opposite in sign.

Since you are trying to cancel out y and you are changing the second equation, look at the first equation.

The y variable is +2y.  This means that the second equation with a y variable of -2y.

Since the the second equation's y variable is -y, multiply it by 2.

-y x 2 = -2y

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: