Which is the approximate solution for the system of equations \( 3 x+4 y=2 \) and \( 4 x+y=-4 \) ? \( (-1.4,1.5) \) \( (1.4,1.5) \) \( (0.9,-0.2) \) \( (-0.9,-0.2) \)

To solve the system of equations \( 3x + 4y = 2 \) and \( 4x + y = -4 \), you can use either substitution or elimination. By substitution, you could solve for \( y \) from the second equation, \( y = -4 - 4x \), and substitute it into the first equation. This gives you a straightforward way to find the values for \( x \) and \( y \). Another approach is to graph both equations on a coordinate plane. The point where the two lines intersect represents the solution to the system. By examining the graph or using numerical methods, you would find that the solutions converge around the point \( (-0.9, -0.2) \). This matches with one of the options given, making it the approximate solution.