X=6
Y=-3
Step: Solve
x
=
6
y
+
24
for x:
x
=
6
y
+
24
Step: Substitute
6
y
+
24
for
x
in
2
x
+
3
y
=
3
:
2
x
+
3
y
=
3
2
(
6
y
+
24
)
+
3
y
=
3
15
y
+
48
=
3
(Simplify both sides of the equation)
15
y
+
48
+
−
48
=
3
+
−
48
(Add -48 to both sides)
15
y
=
−
45
15
y
15
=
−
45
15
(Divide both sides by 15)
y
=
−
3
Step: Substitute
−
3
for
y
in
x
=
6
y
+
24
:
x
=
6
y
+
24
x
=
(
6
)
(
−
3
)
+
24
x
=
6
(Simplify both sides of the equation)
Answer:
x
=
6
and
y
=
−
3