If ab-yc-za-xbc-za-xb-yc=0, then using properties of determinants, find the value of ax+by+cz, where x, y, z are not equal to zero.

If $|\begin{matrix} a & b - y & c - z \\ a - x & b & c - z \\ a - x & b - y & c \end{matrix}| = 0$ , then using properties of determinants, find the value of $\frac{a}{x} + \frac{b}{y} + \frac{c}{z}$ , where x, y, z are not equal to zero.

Match the items on the right to the items on the left.