What operation needs to be performed to go from the equation 2x+7y=14 to the equivalent equation 4x+14y=28.

Answer 1

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.