Question

_t+3=_t-6
???? my cousin needs help

Answer 1

Suppose you equation is something like

`at+3 = bt-6`

If you subtract
`bt` and 3 from both sides you have

`at-bt = -9`

We can rewrite this as

`(a-b)t = -9`

And we want this to be true when
`t=6`, so we have

`6(a-b) = -9 \iff a-b = (-9)/(6) = (-3)/(2)`

So, you can choose any couple a and b such that

`a-b = (-3)/(2)`

For example,

`a = (-3)/(2),\quad b=0`

or

`a = 2,\quad b = (7)/(2)`

and so on