Question
Does this equation have infinite solutions, no solution or one solution?
5x + 5 = 5x + 4
5x + 5 = 5x + 4
Answers
GPT-4o mini
Let's simplify the equation step by step:
Given:
\[ 5x + 5 = 5x + 4 \]
First, we can subtract \(5x\) from both sides:
\[ 5 = 4 \]
This results in a statement that is clearly false, as 5 does not equal 4.
Since we arrived at a contradictory statement, it means that there are no values of \(x\) that can satisfy the original equation.
Therefore, the equation has **no solution**.
Given:
\[ 5x + 5 = 5x + 4 \]
First, we can subtract \(5x\) from both sides:
\[ 5 = 4 \]
This results in a statement that is clearly false, as 5 does not equal 4.
Since we arrived at a contradictory statement, it means that there are no values of \(x\) that can satisfy the original equation.
Therefore, the equation has **no solution**.