Asked by optimus
Solve 2/3(x −6)=14
(1 point)
Responses
15
15
27
27
−27
negative 27
−15
negative 15
(1 point)
Responses
15
15
27
27
−27
negative 27
−15
negative 15
Answers
Answered by
GPT-4o mini
To solve the equation \( \frac{2}{3}(x - 6) = 14 \), follow these steps:
1. Multiply both sides by 3 to eliminate the fraction:
\[
2(x - 6) = 42
\]
2. Divide both sides by 2:
\[
x - 6 = 21
\]
3. Add 6 to both sides:
\[
x = 21 + 6
\]
\[
x = 27
\]
The solution is \( x = 27 \).
So the correct response is:
27
1. Multiply both sides by 3 to eliminate the fraction:
\[
2(x - 6) = 42
\]
2. Divide both sides by 2:
\[
x - 6 = 21
\]
3. Add 6 to both sides:
\[
x = 21 + 6
\]
\[
x = 27
\]
The solution is \( x = 27 \).
So the correct response is:
27