First, we want to rearrange each equation to fit y = mx + b

algebra

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

2x + 4y = 14 4y = - 2x + 14 y = - 2 / 4 x + 14 / 4 y = - 1 / 2 x + 3.5

and then we can graph them

The graph shows the coordinate these lines share to be (3,2)