If they exist, find the x-,y-,and z-intercepts of the line x=24+7t, y=4+t, z=-20-5t.

So this question seems very straight forward, but for some reason I cannot come up with the correct answer as the back of the book says. Their answer is... xintercept is -4.

This is my work:

Sym eqtn:

(x-24)/7 = (y-4)/1 = (z+20)/-5

Find x intercept, let y and z =0

(x-24)/7 = -4=-4

x-24=-28=-28

x=-28+24=-28

x=-4=-28

x=24=0

x=24