What are the determinants for solving this linear system?

Segment xz is bisected by point y. if xy = 12x, and the measure of xz = 18x – 6, solve for x

Me with this one question, and i'll upvote the brainliest answer

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn. if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.