SOLUTION: Can you explain what a no solution equation with a Variable is? Can you give me a couple of examples.

Algebra ->  Expressions-with-variables -> SOLUTION: Can you explain what a no solution equation with a Variable is? Can you give me a couple of examples.       Log On


   



Question 152918: Can you explain what a no solution equation with a Variable is? Can you give me a couple of examples.

Found 2 solutions by Edwin McCravy, Fombitz:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Can you explain what a no solution equation with a Variable is? Can you give me a couple of examples.

It's one that is equivalent to a false equation 
without a variable.

Example 1:

 x%2B3=x-7

Subtract x from both sides:

 3=-7

That is a false equation without a variable.

--------------------

Example 2:

2x%2B5%28x%2B3%29=3x-2%285-2x%29

Remove the parentheses:

2x%2B5x%2B15=3x-10%2B4x

Combine like terms:

7x%2B15=7x-10

Subtract 7x from both sides

15=-10

That's a false equation with no variables.

Edwin


Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Here's one
1%2F%28x-1%29=0
There is no x you can choose that solves that equation.
I can get close by choosing really large x but it will never equal zero.
.
.
.
x%5E2%2B1=0
Again no solution because whenever I square a number, it will be greater than or equal to zero and never -1, which would allow you to solve the equation.
.
.
.
You will see later on that there are solutions to those equations but not in the traditional sense of a solution that you think of right now.