Answer:x=1,y=
Step-by-step explanation:Here's one of many ways of solving this system. Since we are already told that
x
=
y
−
3
from the first equation, just plug in
y
−
3
everywhere you see an
x
in the second equation.
So the second equation becomes
(
y
−
3
)
+
3
y
=
13
. Solve this for
y
to get
y
=
4
.
Then, go back to the first equation that says
x
=
y
−
3
and plug in
y
=
4
. So
x
=
1
.
Check your work by plugging in the values.
1
=
4
−
3
and
1
+
3
(
4
)
=
13
, so we are right.