Question

6*response=3*7+(response x7)

Answer 1

To solve the equation \( 6 \cdot \text{response} = 3 \cdot 7 + (\text{response} \cdot 7) \), let's simplify and isolate the variable "response".

1. Start with the original equation:
\[
6 \cdot \text{response} = 3 \cdot 7 + (\text{response} \cdot 7)
\]

2. Calculate \( 3 \cdot 7 \):
\[
3 \cdot 7 = 21
\]
So the equation becomes:
\[
6 \cdot \text{response} = 21 + (\text{response} \cdot 7)
\]

3. Reorganize the equation by moving \( 7 \cdot \text{response} \) to the left side:
\[
6 \cdot \text{response} - 7 \cdot \text{response} = 21
\]
This simplifies to:
\[
-1 \cdot \text{response} = 21
\]

4. Divide both sides by -1:
\[
\text{response} = -21
\]

Thus, the solution to the equation is:
\[
\text{response} = -21
\]