Answer:
The answer is y = 6.
Step-by-step explanation:
Given:
RS = [tex]3y+41[/tex], ST = [tex]18y-76[/tex] and RT = 91.
Now, to find the [tex]y[/tex].
According to question add the equations:
RS + ST = RT
[tex]3y+41+18y-76=91[/tex]
Adding the numbers and variables in L.H.S.
[tex]3y+18y-76+41=91[/tex]
[tex]21y-35=91[/tex]
Adding 35 on both sides:
[tex]21y-35+35=91+35[/tex]
[tex]21y=126[/tex]
Dividing both sides by 21:
[tex]21y\div 21=126\div 21[/tex]
[tex]y=6[/tex]
Therefore, the answer is y = 6.
