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Question 918802: how do you simplify x=(90-x)=6
Answer by josgarithmetic(39618)   (Show Source):
You can put this solution on YOUR website! The statement is wrong! That says three things:
x=6, x=90-x, and 90-x=6.
The statement found through the transitive property is x=6.
The first part of the equation x=90-x is false because when substituting x=6,
the statement becomes 6=90-6, which is false, without any doubt. If you try to solve this part of the given equation for x, then you do this:
x=90-x
x+x=90-x+x
2x=90
x=45, which disagrees with x=6.
x must be only one of them or the other of them. NOT both for the same given equation.
The last part of the given is 90-x=6, which if solved goes as
90-x+x=6+x
90=6+x
90-6=x
x=84, which disagrees with x=45 and with x=6.
The given equation is not simplifiable, and it is wrong.
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