The angle between two lines, $$2y+x=3$$ and $$5y+x=3$$, is most closely:

A. $$20^(circ)$$
B. $$18^(circ)$$
C. $$15^(circ)$$
D. $$14^(circ)$$

To find the angle between two lines, we can use the equation $$alpha=arctan[(m_1-m_2)/(1-m_2m_1)]$$

This equation uses the slopes, m1 and m2, so first let's find those by getting the equations into standard form:

1. $$2y+x=3 => y=-1/2x+3/2$$
2. $$5y+x=3 => y=-1/5x+3/5$$

Therefore, our slopes are m1 = -½ and m2 = -1/5

We can now plug into the angle equation:

$$alpha=arctan[(-1/2-(-1/5))/(1-(-1/2)(-1/5))]$$

$$=-0.321$$

However, this answer is in radians, so we need to convert:

$$pi/180 = -0.321/x$$ where the denominators are degrees, and the numerators are radians.

$$x = -18.39$$ degrees.

However, since the question asks for the angle between the two lines, we can drop the equals sign.

The answer is about 18 degrees, or B.