Given the equations:
a + 3b =
-3 ..............(1)
2b = a
-12
==> -a+2b =
-12 ............(2)
We have a system of two equations and
two variables.
Then, we will use the elimination method to
find a and b.
==> We will add (1) +
(2).
==> 5b= -15
Now we
will divide by 5.
==> b = -15/5 =
-3
==> b= -3
Now we
will substitute into (1) to find a.
==> a + 3b =
-3
==> a + 3(-3) =
-3
==> a -9 =
-3
==> a = 9-3 =
6
==> a = 6
Then, the
answer is:
a = 6 and b =
-3
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