is -2x+3 same as 2x-3?
is -2x+3 same as 2x-3. I multiplied all numbers by -1.
my theory:
-2x+3 = 0
2x - 3= - 0
since -0 = 0
therefore the simplified eqn is 2x -3
but when I replace a value for eg (2) in both equations. Got different values. Thanks!
回答 (13)
-2x + 3 is not exactly the same as 2x - 3
You said it yourself, -2x + 3 times by -1 is 2x - 3. Hence they are not identical.
-2x + 3 = 0
2x - 3 = 0
These are equivalent statements, but all this actually tells us is that the solution x for both equations is the same.
If we had had
-2x + 3 = 2
then
2x - 3 = -2
They are not equal in this case.
Try plotting y = 2x - 3 and y = -2x + 3. They cross the x-axis at the same place, but are otherwise not equal (they are mirror images, reflected in the x-axis)
No. -2x + 3 =/= 2x - 3 for all real x, and you answered your own question in so doing.
-2x + 3 = -1(2x - 3), and dividing both sides by 2x - 3 means -1 = 1. False statement for all x except if x = 3/2.
if they were the same, then they would be equal for any value of x, but they are not equal at x=0
No.
Let x = 0
-2(0) + 3 = 3
2(0)- 3 = - 3
Do you see that the answers are different?
I had been taught not to leave a negative answer, so -2x + 3 would be 2x - 3. Was I taught wrong?
Let's say -2x + 3 is equal to a number a
-2x + 3 = a
Multiplying both sides by -1,
2x - 3 = -a ............(1)
However, -a ≠ a.
Take any number for a. Let's say a = 2.
2 and -2 are not the same.
Therefore -2x + 3 and 2x - 3 are not equal. You could even test them by plugging in real numbers for x.
Let x = 1,
-2x + 3 = -2(1) + 3
= -2 + 3
= 1
If x = 1 for 2x - 3,
2(1) - 3 = 2 - 3
= -1
-1 and 1 are not equal!
In a word_______ NO !!!!
- 2x + 3 = - ( 2x - 3 )
-2x+3 is not the same thing as 2x-3
It is the negative of the first expression, as you said.
-2x+3 = 0 is the same as 2x-3 = 0
Don't confuse a polynomial expression with an equation.
What if they don't equal 0?
Let x = 1.
-2(1) + 3 = 1
but
2(1) - 3 = -1
Therefore, the expressions are not equal.
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