Answer:
[tex]y=2.625[/tex]
Step-by-step explanation:
With the information given, the line should look something like so:
R------------------S---------------------T
By the segment addition postulate, we know that RS+ST=RT.
Insert the given information into the equation:
[tex](7y-2)+(y+7)=26[/tex]
Solve for y. SImplify the parentheses:
[tex]7y-2+y+7=26[/tex]
Combine like terms:
[tex]7y+y-2+7=26\\\\8y+5=26[/tex]
Subtract 5 from both sides:
[tex]8y+5-5=26-5\\\\8y=21[/tex]
Isolate the variable. Divide both sides by 8:
[tex]\frac{8y}{8}=\frac{21}{8} \\\\ y=2.625[/tex]
:Done
