Using the elimination method to eliminate the y variable, what is your first step to solve the system of equations? 2x + 4y = 16 and 2x - 4y = 0. multiply the top equation by 4 add the equations together substitute 2x-4y in for x in the top equation multiply the bottom equation by 2

Answer 1

To use the elimination method to eliminate the y variable from the system of equations

1. \(2x + 4y = 16\)
2. \(2x - 4y = 0\)

the first step is to add both equations together, as this will allow you to eliminate the \(y\) variable since they have coefficients of \(4y\) and \(-4y\) that will cancel each other out.

So, the correct first step is:

Add the equations together.

This gives you:

\((2x + 4y) + (2x - 4y) = 16 + 0\)

Which simplifies to:

\(4x = 16\)

From here, you can solve for \(x\) and then substitute back to find \(y\).