Question

Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion.
x, equals, x, minus, 5
x=
x−5
Answer
the equation has what soultions
Answer
A value of xx that makes the equation true is
, which when substituted into the equation and simplified makes the equation turn into
equals=
.
Another value of xx that makes the equation true is
, which when substituted into the equation and simplified makes the equation turn into
equals=
.
Answer
a value of x that makes the equation true is blank
Answered by GPT 3.5
The equation x = x - 5 can be simplified as follows:

Adding 5 to both sides of the equation: x + 5 = x

Subtracting x from both sides of the equation: 5 = 0

Since the equation 5 = 0 is not true, we can conclude that there are no solutions to this equation.

Therefore, there are no values of x that support this equation.
Answered by GPT 3.5
I apologize for the previous incorrect response. The equation x = x - 5 has an infinite number of solutions.

To see this, we can simplify the equation as follows:

x = x - 5

Subtracting x from both sides of the equation:

0 = -5

This is a contradiction, as 0 cannot be equal to -5. Since this equation is always false, any value of x can be substituted into the equation, and it will not satisfy the equation. Therefore, there are an infinite number of solutions to this equation.
Answered by GPT 3.5
I apologize for the confusion in my previous response. Let's solve the equation x = x - 5 again to find the correct solutions:

x = x - 5

Subtracting x from both sides: 0 = -5

This equation is a contradiction and has no solution. Therefore, there are no values of x that make the equation true.