SOLUTION: Algebra RS=8y+4, ST=4y+8, RT=15y-9 a. What is the value of y? b.Find RS, ST, and RT.

Algebra ->  Number-Line -> SOLUTION: Algebra RS=8y+4, ST=4y+8, RT=15y-9 a. What is the value of y? b.Find RS, ST, and RT.      Log On


   

Question 653489: Algebra RS=8y+4, ST=4y+8, RT=15y-9
a. What is the value of y?
b.Find RS, ST, and RT.
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Presumably, point S is on the segment RT somewhere between R and T. So the measure of RS plus the measure of ST must be the measure of RT.



a. Solve for

b. Calculate , , and

John

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Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

RS=8y%2B4, ST=4y%2B8, RT=15y-9
if we take that
RS%2BST+=+RT...=>... %288y%2B4%29%2B%284y%2B8%29=15y-9

8y%2B4%2B4y%2B8=15y-9...solve for y
12y%2B12=15y-9
9%2B12=15y-12y
21=3y

21%2F3=y
highlight%287=y%29
now find:
RS=8y%2B4
RS=8%2A7%2B4
highlight%28RS=60%29

ST=4y%2B8
ST=4%2A7%2B8
ST=28%2B8
highlight%28ST=36%29
RT=15y-9
RT=15%2A7-9
RT=105-9
highlight%28RT=96%29
check:
RS%2BST+=+RT
60%2B36+=+96
96+=+96