Answer:
((down below))
Step-by-step explanation:
If A is the midpoint of Line Segment XY, then we can conclude that the length of XA = the length of AY. ((in other words, XA = AY))
Find XA
- Insert equations // 2x = 10x - 8
- It's best to solve for "x." So we do this by flipping the equation (you can do this in any way you want, but this seemed easier) // 8 = 10x - 2x
- 8 = 8x // Divide for x // x = 1
Finding the Length of AY (Calculating Length)
- Substitute x = 1 from XA // 10(1) - 8
- We get an answer of 2 ((this is the length of AY))
Finding the Length of XA
- Substitute x = 1 from XA // 2(1)
- We get an answer of 2 ((this is the length of XA)
Finding the Length of XY
- XA = AY // the length of XA is 2 (or 2 units, or whatever you are measuring in) and the length of AY is 2, then finding the length of XY means adding both lengths together
- XA = AY = 2 = 2 = 2 + 2 = 4 ((the length of XY is 4))
