Question

RS = 3y + 41, ST = 18y - 76 and RT = 91.
2) Find y.

Answer 1

The answer is y = 6.

Explanation:

Given:

RS =
`3y+41`, ST =
`18y-76` and RT = 91.

Now, to find the
`y`.

According to question add the equations:

RS + ST = RT

`3y+41+18y-76=91`

Adding the numbers and variables in L.H.S.

`3y+18y-76+41=91`

`21y-35=91`

Adding 35 on both sides:

`21y-35+35=91+35`

`21y=126`

Dividing both sides by 21:

`21y/ 21=126/ 21`

`y=6`

Therefore, the answer is y = 6.