Eliminate the equal sides of each equation and combine.
−
6
x
+
10
=
3
x
+
1
-
6
x
+
10
=
3
x
+
1
Move all terms containing
x
x
to the left side of the equation.
Subtract
3
x
3
x
from both sides of the equation.
−
6
x
+
10
−
3
x
=
1
-
6
x
+
10
-
3
x
=
1
y
=
3
x
+
1
y
=
3
x
+
1
Subtract
3
x
3
x
from
−
6
x
-
6
x
.
−
9
x
+
10
=
1
-
9
x
+
10
=
1
y
=
3
x
+
1
y
=
3
x
+
1
Move all terms not containing
x
x
to the right side of the equation.
Subtract
10
10
from both sides of the equation.−
9
x
=
1
−
10
-
9
x
=
1
-
10
y
=
3
x
+
1
y
=
3
x
+
1
Subtract
10
10
from
1
1
.
−
9
x
=
−
9
-
9
x
=
-
9
y
=
3
x
+
1
y
=
3
x
+
1
Divide each term by
−
9
-
9
and simplify.
Divide each term in
−
9
x
=
−
9
-
9
x
=
-
9
by
−
9
-
9
.
−
9
x
−
9
=
−
9
−
9
-
9
x
-
9
=
-
9
-
9
y
=
3
x
+
1
y
=
3
x
+
1
Reduce the expression by cancelling the common factors
x =
−
9
−
9
x
=
-
9
-
9
y
=
3
x
+
1
y
=
3
x
+
1
Divide
−
9
-
9
by
−
9
-
9
.
x
=
1
x
=
1
y
=
3
x
+
1Replace all occurrences of
x
x
with the solution found by solving the last equation for
x
x
. In this case, the value substituted is
1
1
.
x
=
1
x
=
1
y
=
3
(
1
)
+
1
y
=
3
(
1
)
+
1
Simplify
3
(
1
)
+
1
3
(
1
)
+
1
.
Tap for fewer steps...
Multiply
3
3
by
1
1
.
x
=
1
x
=
1
y
=
3
+
1
y
=
3
+
1
Add
3
3
and
1
1
.
x
=
1
x
=
1
y
=
4
y
=
4
The solution to the system of equations can be represented as a point.
(
1
,
4
)
(
1
,
4
)
The result can be shown in multiple forms.
Point Form:
(
1
,
4
)
(
1
,
4
)
Equation Form:
x
=
1
,
y
=
4
