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Original Question
Does this equation have infinite solutions, no solution or one solution? 2x + 3 = 2x + 7Question
Does this equation have infinite solutions, no solution or one solution?
7x + 3 = 7x + 3
7x + 3 = 7x + 3
Answers
GPT-4o mini
To determine whether the equation \(7x + 3 = 7x + 3\) has infinite solutions, no solution, or one solution, we can simplify or analyze the equation.
Starting with:
\[ 7x + 3 = 7x + 3 \]
We can subtract \(7x\) from both sides:
\[ 3 = 3 \]
This statement is always true, meaning that the equation holds for any value of \(x\). Therefore, the equation represents an identity.
Since the equation is true for all values of \(x\), we conclude that there are **infinite solutions**.
Starting with:
\[ 7x + 3 = 7x + 3 \]
We can subtract \(7x\) from both sides:
\[ 3 = 3 \]
This statement is always true, meaning that the equation holds for any value of \(x\). Therefore, the equation represents an identity.
Since the equation is true for all values of \(x\), we conclude that there are **infinite solutions**.