I do not get these to math problems?

Question

Point S is between R and T on line segment RT. Use the given info to write an equation in terms of x. Solve the equation. Then find RS and ST.

1. RS= 2x+10

ST= x-4

RT= 21

2. RS=2x-8

ST=3x-10

RT=17

help?

Answer 1

since the line is R_____S_______T

RS + ST = RT, so for #1 RT = 2x + 10 + (x-4), RT = 3x + 6, so 3x + 6 =21, 3x = 15, x = 5, so RS = 2(5) + 10 = 20, ST = 5 - 4 = 1

2. same logic, RT= (2x-8) + (3x-10) = 5x - 18, 5x -18 = 17, 5x = 35, x =7,

so RS = 2(7) - 8 =6, ST = 3(7) - 10 = 11

Answer 2

number 1;

(2x+10)+(x-4)=21

2x+10+x-4=21

3x+6=21

3x+15

x=5

number 2:

(2x-8)+(3x-10)=17

2x-8+3x+10=17

5x+2=17

5x=15

x=3

Answer 3

(2x+10)+(x-4)=21

2x+10+x-4=21

3x+6=21

3x+15

x=5

(2x-8)+(3x-10)=17

2x-8+3x+10=17

5x+2=17

5x=15

x=3

Hope this helps!

Answer 4

1. line RT is made up of RS +ST so,

2x+10 + x-4 = 21

3x + 6 =21

3x = 15

x=5

RS= 2(5)+10 = 20

ST= (5)-4 = 1

2. RS=2x-8, ST=3x-10, RT=17

2x-8 + 3x-10 = 17

5x -18 = 17

5x = 35

x = 7

RS=2(7)-8= 6

ST=3(7)-10= 11