SOLUTION: I have two questions I'm not sure I'm answering correctly. They are True or false and why: a. The equation -7x = x has no solution b. The solution to x/(x-4) = 4/(x-4) is x =

Question 752794: I have two questions I'm not sure I'm answering correctly. They are
True or false and why:
a. The equation -7x = x has no solution
b. The solution to x/(x-4) = 4/(x-4) is x = 4
For a. I think that it is false since 0 is a solution.
For b. I think that it is true because 4/4-4 is 4/0 and it does equal 4/4-4 which is also 4/0 and zero is a solution.

Answer by dkppathak(439) (Show Source): You can put this solution on YOUR website!
1)
-7x =x
-7x-x =o
-8x=o
x= 0/8
x=o it has solution
2)
x/(x-4) = 4/(x-4)
by cross multiplication
x(x-4)=4(x-4)
x^2-4x=4x-16
x^2-8x+16=0
(x-4) (x-4) =0
(x-4)=0
x=4
yes your solution correct

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