Question

Given:
RS = 3x - 16
ST = 4x - 8
RT = 60
Solve for RS.

Answer 1

To find RS we have to find x and the use the value of X to solve for RS

Explanation:

To find x we have to add RS and ST and equate it RT

`3x - 16 + 4x - 8 = 60 \\ 3x + 4x - 16 - 8 = 60 \\ 7x - 24 = 60 \\ 7x = 60 + 24 \\ 7x = 84\\ x = (84)/(7) \\ x = 12`

So now that we have found x we can use it to solve for RS

`rs = 3x - 16 \\ = (3 * 12) - 16 \\ = 36 - 16 \\ = 20`

There we go. Hope this helps