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.