a = 2+b b= 3c a+b = c what are a, b, and c?

Given the system:

a = 2+ b
.............(1)

b = 3c
.............(2)

a+b = c
...............(3)

We will use the substitution method to
solve.

We will substitute (2) into
(1).

==> a= 2+ b = 2 +
3c

==> a = 2+ 3C
..............(4)

Now we will substitute (2) and (3) into
(4).

==> a + b =
C

==> (2+3c) + 3c =
c

==> 2 + 6c =
c

==> 5c =
-2

==> c =
-2/5

==> b = 3c = 3*-2/5 =
-6/5

==> b =
-6/5

==> a = 2+ b = 2 - 6/5 =
4/5

==> a =
4/5

Then, the answer
is:

a= 4/5     b= -6/5      c
= -2/5