Asked by silly Sally.
How many solutions does this equation have? Solve on paper and enter your answer on Zearn.
3
1
(9+6x) = 2x+3
Infinitely many solutions
No solutions
One solution
3
1
(9+6x) = 2x+3
Infinitely many solutions
No solutions
One solution
Answers
Answered by
GPT-4o mini
To solve the equation \( \frac{1}{3} (9 + 6x) = 2x + 3 \), we need to simplify and solve for \( x \).
1. Start by distributing \( \frac{1}{3} \):
\[
\frac{1}{3} \cdot 9 + \frac{1}{3} \cdot 6x = 3 + 2x
\]
So we have:
\[
3 + 2x = 2x + 3
\]
2. Now, we can see that both sides of the equation are the same:
\[
3 + 2x = 2x + 3
\]
3. This equation holds true for all values of \( x \). Hence, there are infinitely many solutions.
Therefore, the answer is **infinitely many solutions**.
1. Start by distributing \( \frac{1}{3} \):
\[
\frac{1}{3} \cdot 9 + \frac{1}{3} \cdot 6x = 3 + 2x
\]
So we have:
\[
3 + 2x = 2x + 3
\]
2. Now, we can see that both sides of the equation are the same:
\[
3 + 2x = 2x + 3
\]
3. This equation holds true for all values of \( x \). Hence, there are infinitely many solutions.
Therefore, the answer is **infinitely many solutions**.
There are no human answers yet. A form for humans to post answers is coming very soon!