Lang Grant
05/08/2023 · Middle School
How many solutions does the equation \(6x + 2 = 6x + 2\) have?
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To determine how many solutions the equation \(6x + 2 = 6x + 2\) has, we can start by simplifying the equation.
First, we can subtract \(6x\) from both sides:
\[
6x + 2 - 6x = 6x + 2 - 6x
\]
This simplifies to:
\[
2 = 2
\]
The equation \(2 = 2\) is a true statement and holds for all values of \(x\). This means that the original equation does not depend on the value of \(x\) and is always satisfied.
Since the equation is true for all \(x\), we conclude that there are infinitely many solutions.
Thus, the number of solutions to the equation \(6x + 2 = 6x + 2\) is
\[
\boxed{\text{infinitely many}}
\]
Quick Answer
The equation \(6x + 2 = 6x + 2\) has infinitely many solutions.
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