Solve by the elimination process:

0.3x - 0.2y = 4;
0.2x + 0.3y = 5/23

Multiply top equation by 3 and bottom by 2.

.9x - .6y = 12
.4x + .6y = 10/23

Add the two equations.

1.3x = 12 10/23

You should be able to take it from here.