How do I solve this proportion:50 over 2t + 4 = 2t + 4 over 2 It's ok to use cross multiplication.

50/ (2t+4) = (2t+4) / 2

First
we will cross multiply.

==> (2t+4)*(2t+4) =
2*50

==> (2t+4)^2 =
100.

Now we will take the root of both
sides.

==> (2t+4) =
+-10.

Then, we have two
cases.

Let us solve each
case.

==> (2t+4)= 10  ==> 2t = 6 ==>
t1= 3

==> (2t+4) = -10 ==> 2t = -14
==> t2= -7.

Then there are two values for
t.

t= { -7,
3}.

To check the
answer, we will substitute with t1 and
t2.

If t= -7 ==> 50/(2*-7 + 4) = (2*-7+4)/
2

==> 50/ (-10) =
-10/2

==> -5 = -5

If t=
3 ==> 50/(2*3+4) = (2*3+4)/2

==> 50/ (10) =
(10)/ 2

==> 5 = 5.