Question

Use the number line below, where RS = 9y +3, ST = 3y + 4, and RT = 17y - 33.

a. What is the value of y?
b. Find RS, ST, and RT.

Answer 1

R___S___T

RT=RS+ST

(17y-33) =( 9y+3)+(3y+4)

17y-33 = 12y+ 7

17y - 12y = 7+33

5y= 40

y=40/5

y= 8

RS = 9y+3 = 9(8)+3= 72+3=75

ST= 3y+4 = 3(8)+4=24+4=28

RT= 17y-33= 17(8)-33= 136-33= 103 —>

Or ; RT=RS+ST =75+28= 103

So;

a. Ans; y=8

b. Ans; RS= 75 , ST = 28 , RT = 103

I hope I helped you^_^