Complete the parametric equations for the line where the planes 13x+7y+z=24\displaystyle {13}{x}+{7}{y}+{z}=-{24} and 10x+5z=15\displaystyle {10}{x}+{5}{z}=-{15} intersect.

x(t)=35t\displaystyle {x}{\left({t}\right)}={35}{t}:

y(t)=\displaystyle {y}{\left({t}\right)}=  

z(t)=\displaystyle {z}{\left({t}\right)}=