Question
What operation needs to be performed to go from the equation 2x+7y=14 to the equivalent equation 4x+14y=28.
Answers
GPT-4o mini
To go from the equation \( 2x + 7y = 14 \) to the equivalent equation \( 4x + 14y = 28 \), you need to multiply the entire equation by 2.
Here's the step-by-step process:
1. Start with the original equation:
\[
2x + 7y = 14
\]
2. Multiply every term in the equation by 2:
\[
2(2x) + 2(7y) = 2(14)
\]
3. This results in:
\[
4x + 14y = 28
\]
Thus, the operation performed is multiplying the entire equation by 2.
Here's the step-by-step process:
1. Start with the original equation:
\[
2x + 7y = 14
\]
2. Multiply every term in the equation by 2:
\[
2(2x) + 2(7y) = 2(14)
\]
3. This results in:
\[
4x + 14y = 28
\]
Thus, the operation performed is multiplying the entire equation by 2.