Add
2
y
to both sides of the equation.
−
4
x
=
−
12
+
2
ySolve for
x
in the first equation.
Tap for fewer steps...
Add
2
y
to both sides of the equation.
−
4
x
=
−
12
+
2
y
4
x
+
8
y
=
−
24
Divide each term by
−
4
and simplify.
Tap for fewer steps...
Divide each term in
−
4
x
=
−
12
+
2
y
by
−
4
.
−
4
x
−
4
=
−
12
−
4
+
2
y
−
4
4
x
+
8
y
=
−
24
Cancel the common factor of
−
4
.
Tap for more steps...
x
=
−
12
−
4
+
2
y
−
4
4
x
+
8
y
=
−
24
Simplify each term.
Tap for more steps...
x
=
3
−
y
2
4
x
+
8
y
=
−
24
Replace all occurrences of
x
with
3
−
y
2
in each equation.
Tap for more steps...
12
+
6
y
=
−
24
x
=
3
−
y
2
Solve for
y
in the first equation.
Tap for more steps...
y
=
−
6
x
=
3
−
y
2
Replace all occurrences of
y
with
−
6
in each equation.
Tap for more steps...
x
=
6
y
=
−
6
The solution to the system is the complete set of ordered pairs that are valid solutions.
(
6
,
−
6
)
The result can be shown in multiple forms.
Point Form:
(
6
,
−
6
)
Equation Form:
x
=
6
,
y
=
−
6
4
x
+
8
y
=
−
24 Answer: The answer to your ? is A