If RT=36, find the value of x

Answer:
4
Step-by-step explanation:
So we know that RT is 36.
Note that RT is the combined length of RS and ST. Therefore:
[tex]RT=RS+ST[/tex]
Substitute. RT is 36, RS is 6x+1 and ST is x+7:
[tex]36=(6x+1)+(x+7)[/tex]
Combine like terms and add:
[tex]36=7x+8[/tex]
Subtract 8 from both sides:
[tex]28=7x[/tex]
Divide by 7:
[tex]x=4[/tex]
So, our answer is 4 :)