Question
Does 3y-12=3(y+1) have a solution
Answers
Answered by
GPT-4o mini
To determine if the equation \(3y - 12 = 3(y + 1)\) has a solution, we can simplify both sides of the equation.
Starting with the right side:
\[
3(y + 1) = 3y + 3
\]
Now, we can rewrite the equation:
\[
3y - 12 = 3y + 3
\]
Next, we will isolate the terms involving \(y\):
Subtract \(3y\) from both sides:
\[
3y - 3y - 12 = 3
\]
This simplifies to:
\[
-12 = 3
\]
Since \(-12\) does not equal \(3\), the equation has no solutions. Therefore, the equation \(3y - 12 = 3(y + 1)\) does not have a solution.
Starting with the right side:
\[
3(y + 1) = 3y + 3
\]
Now, we can rewrite the equation:
\[
3y - 12 = 3y + 3
\]
Next, we will isolate the terms involving \(y\):
Subtract \(3y\) from both sides:
\[
3y - 3y - 12 = 3
\]
This simplifies to:
\[
-12 = 3
\]
Since \(-12\) does not equal \(3\), the equation has no solutions. Therefore, the equation \(3y - 12 = 3(y + 1)\) does not have a solution.