What can we do to make it so the \( y \) 's will cancel out when we add the equations? \[ \begin{array}{r}-2 x+4 y=15 \\ 3 x+y=2\end{array} \] A Multiply the 2nd equation by 4. B Multiply the 2nd equation by -4.

To make the \( y \)'s cancel out when adding the equations, you need to have the coefficients of \( y \) in both equations be equal in magnitude but opposite in sign. This way, when you add the equations, the \( y \) terms will cancel each other out. Let's look at the given equations: \[ -2x + 4y = 15 \] \[ 3x + y = 2 \] The coefficients of \( y \) are 4 and 1. To make them equal in magnitude but opposite in sign, you can multiply the second equation by 4: \[ -2x + 4y = 15 \] \[ 12x + 4y = 8 \] Now, the coefficients of \( y \) in both equations are 4, and when you add the equations, the \( y \) terms will cancel out: \[ (-2x + 4y) + (12x + 4y) = 15 + 8 \] \[ 10x + 8y = 23 \] So, the correct answer is: A. Multiply the 2nd equation by 4.