Chandra thinks that the system of equations below has an infinite number of solutions. Do you agree with her thinking? Why or why not?
2y = x-4
-2x = -4y-8

Question

Chandra thinks that the system of equations below has an infinite number of solutions.  Do you agree with her thinking?  Why or why not?
    2y = x-4
    -2x = -4y-8

cwrw238 · Answer

r u sure the second equation isnt -2y = -4x - 8?

shubhamsrg · Answer

well do you agree ? @ballerina789

shubhamsrg · Answer

with @chardra -_-

anonymous · Answer

No

anonymous · Answer

hmm....I think so. x can be any real number in either equation. There are an infinite number of real values, so there are an infinite number of solutions. Ballerina, would that reasoning hold true?

anonymous · Answer

yes

anonymous · Answer

The second equation is actually supposed to be: -2x = -4y-8

anonymous · Answer

They both equal y=1/2x-2

anonymous · Answer

I think they actually equal:

$$y=\frac{x-4}{2}$$

and

$$y=\frac{-2x+8}{-4}=\frac{x-4}{2}$$

anonymous · Answer

no

anonymous · Answer

well...if the solution is 1/(2x-2) then there will be a limit on the domain...

anonymous · Answer

it could still have an infinite number of solutions (i.e. any number greater than x=something)