If RT = 36, find the value of x.
RS: 6x+1. ST:x+7

Answer:
x = 4
Step-by-step explanation:
RT = RS + ST
RT = 36
RS + ST = 36
6x + 1 + x + 7 = 36
6x + x + 1 + 7 = 36 {Combine like terms}
7x + 8 = 36 {Subtract 8 from both sides}
7x + 8 - 8 = 36 - 8
7x = 28 {Divide both sides by 7}
7x/7 = 28/7
x = 4