In this image, we are presented with two systems of equations: System A and System B. System A has the following equations:

1. $7x + 4y = -4$
2. $5x + 8y = 28$

System B has the first equation identical to System A:

1. $7x + 4y = -4$

We need to find the second equation for System B that would make both systems equivalent. The options are:

1. $-14x - 8y = -8$
2. $12x + 12y = 24$
3. $-14x - 8y = 8$
4. $-12x - 12y = 24$

Solution Approach:

We start by multiplying or manipulating the second equation from System A to match one of the given options for System B.

The second equation in System A is: $5x + 8y = 28$

To make it equivalent to one of the given options, we could multiply the whole equation by a constant.

Now, let's multiply the equation by $-2$: $-2(5x + 8y) = -2(28)$ $-10x - 16y = -56$ This does not match any of the options provided.

Instead, let’s test multiplying the equation by a different factor, or let’s inspect the options directly and reverse-engineer them.

• The equation $-14x - 8y = -8$ can be tested.

But it seems this needs more direct checking.

Do you want