Solving System of Equations by Substitution
y= 6x
2x+ 3y= - 20
x= 4y+7
2. y
2x – 6y = 12
2x – 3y = -11
2x + y = 9
2x+y= -2
5x + 3y = -8
x= - 4y
3x+2y=20
y= 3x + 8
5x + 2y = 5
6x +3y= 54
2x+ y =18
X- 3y= -2
10x + 8y = -20
Answers
Step-by-step explanation:
Enter a problem...
Algebra Examples
Popular Problems Algebra Solve by Substitution y=6x , 2x+3y=-20
y
=
6
x
,
2
x
+
3
y
=
−
20
Replace all occurrences of
y
in
2
x
+
3
y
=
−
20
with
6
x
.
y
=
6
x
2
x
+
3
(
6
x
)
=
−
20
Simplify
2
x
+
3
(
6
x
)
.
Tap for fewer steps...
Multiply
6
by
3
.
y
=
6
x
2
x
+
18
x
=
−
20
Add
2
x
and
18
x
.
y
=
6
x
20
x
=
−
20
Divide each term by
20
and simplify.
Tap for fewer steps...
Divide each term in
20
x
=
−
20
by
20
.
y
=
6
x
20
x
20
=
−
20
20
Cancel the common factor of
20
.
Tap for fewer steps...
Cancel the common factor.
y
=
6
x
20
x
20
=
−
20
20
Divide
x
by
1
.
y
=
6
x
x
=
−
20
20
Divide
−
20
by
20
.
y
=
6
x
x
=
−
1
Replace all occurrences of
x
in
y
=
6
x
with
−
1
.
y
=
6
(
−
1
)
x
=
−
1
Multiply
6
by
−
1
.
y
=
−
6
x
=
−
1
The solution to the system of equations can be represented as a point.
(
−
1
,
−
6
)
The result can be shown in multiple forms.
Point Form:
(
−
1
,
−
6
)
Equation Form:
x
=
−
1
,
y
=
−
6
Step-by-step explanation:
2x+3y=-20
y=6x
2x+3*6x= -20
2x+18x= -20
20x= -20
x=-20/20
x= -1
x=4y+7
x=4*6x+7
x=24x+7
x-24x= 7
-23x=7
x=7/-23