3x - 4y =-6 2x + 4y = 16

Solution:
1. Given the equations:
* 3x - 4y = -6
* 2x + 4y = 16

2. Add the two equations to eliminate y:
3x - 4y + 2x + 4y = -6 + 16
This simplifies to:
5x = 10

3. Solve for x:
x = \frac{10}{5} = 2

4. Substitute x = 2 back into the second equation to solve for y:
2(2) + 4y = 16
4 + 4y = 16
4y = 16 - 4
4y = 12
y = \frac{12}{4} = 3

The solution to the system of equations is:
* x = 2
* y = 3