The discussion revolves around simplifying the expression 2x + 1 - ((2x + 3)/2). Participants engage in clarifying the distinction between expressions and equations, and they explore various methods for simplifying the given expression.
Participants generally agree that the original problem is an expression rather than an equation. However, there are competing views on the methods for simplification and the implications of treating it as an equation.
Some participants express uncertainty about the steps involved in simplification and the importance of understanding the distinction between expressions and equations. There are unresolved mathematical steps and varying interpretations of how to manipulate the expression.
This discussion may be useful for individuals seeking to understand the simplification of algebraic expressions and the differences between expressions and equations in mathematical contexts.
First simplify the stuff in the parentheses: carry out the division.xeon123 said:
No.xeon123 said:
If you had an equation, you could multiply both sides by 2. But here you just have an expression. Divide by 2.
No, you can't just multiply by 2 and get the same result- and you surely can't multiply just part of an expression and expect to get any thing sensible. And, by the way, multiplying (2x+3)/2 by 2 would just cancel the 2 in the denominator to give 2x+ 3, not 4x+ 6.xeon123 said:
HallsofIvy said:
As already noted, this is not an equation, it's an expression. The best you can do with an expression is to rewrite it in a different and possibly more simplified form.xeon123 said:
This makes no sense in the context of this thread. The OP's problem is to simplify an expression. There is no equation.ratnesh dubey said:
xeon123 said:
