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Introduction to Functions
Mathematics, Grade 6
❮
1
/
2
❯
•
In
algebra,
two
or
more
equations,
called
a
system
of
equations,
can
be
solved
together.
•
A
system
of
equations
is
a
set
of
two
or
more
equations
with
the
same
number
of
variables.
•
A
solution
of
a
system
of
equations
is
a
set
of
values
that
are
solutions
which
satisfy
all
the
equations.
y
=
-3
x
–
2
2
x
+
y
=
12
2
x
+
y
=
12
12
–
2
x
=
-8
+
2
x
12
=
-8
+
4
x
y
=
12
–
2
x
y
=
12
–
2
(5)
y
=
12
–
10
y
=
2
4
x
–
2
y
=
16
–
2
x
–
2
x
y
=
2
x
–
2
y
=
-3
x
–
2
y
=
-3
x
–
2
y
=
2
x
–
2
-2
=
-2
y
=
2
x
–
2
Solving
Systems
of
Equations
Identifying
Solutions
The
Graphical
Method
x
y
-5
-4
-3
-2
-1
1
1
2
3
4
5
2
3
4
5
-1
-2
-3
-4
-5
0
•
A
system
of
equations
can
be
solved
by
graphing
all
of
the
equations
in
the
system.
Is
the
ordered
pair
(0,-2)
a
solution
of
the
system
of
equations
below?
•
The
solution
of
a
system
of
equations
is
the
point
at
which
the
lines
intersect.
•
The
solution
set
is
(5,2)
•
The
ordered
pair
(0,-2)
is
a
solution
of
the
system
of
equations.
Solve
the
system
of
equations:
Solve
the
system
of
equations:
y
=
2
x
–
2
y
=
-3
x
–
2
-2
=
-3
(0)
–
2
?
-2
=
-2
-2
=
2
(0)
–
2
+
2
x
+
2
x
+
8
+
8
4
x
–
2
y
=
16
-2
y
=
16
–
4
x
y
=
-8
+
2
x
–
4
x
–
4
x
-2
-2
-2
•
Solve
both
equations
for
y
20
=
4x
5
=
x
solution
(0,-2)
?
© Copyright NewPath Learning. All Rights Reserved. 93-4810
www.newpathlearning.com
Systems
of
Equations
\|xiBAHBDy01687ozX
•
In
algebra,
two
or
more
equations,
called
a
,
can
be
solved
together.
•
A
system
of
equations
is
____________
_____________________________________
_____________________________________
.
•
A
solution
of
a
system
of
equations
is
_____________________________________
_____________________________________
.
y
=
-3
x
–
2
2
x
+
y
=
12
2
x
+
y
=
12
y
=
4
x
–
2
y
=
16
y
=
2
x
–
2
y
=
-3
x
–
2
y
=
-3
x
–
2
y
=
2
x
–
2
y
=
2
x
–
2
Solving
Systems
of
Equations
Identifying
Solutions
The
Graphical
Method
x
y
-5
-4
-3
-2
-1
1
1
2
3
4
5
2
3
4
5
-1
-2
-3
-4
-5
0
•
A
system
of
equations
can
be
solved
by
graphing
all
of
the
equations
in
the
system.
Is
the
ordered
pair
(0,-2)
a
solution
of
the
system
of
equations
below?
•
The
solution
of
a
system
of
equations
is
the
point
at
which
the
lines
intersect.
•
The
solution
set
is
Solve
the
system
of
equations:
Solve
the
system
of
equations:
4
x
–
2
y
=
16
•
Solve
both
equations
for
y
=
x
Key
Vocabulary
Terms
•
algebra
•
equation
•
ordered
pair
•
solution
set
•
system
of
equations
•
variable
© Copyright NewPath Learning. All Rights Reserved. 93-4810
www.newpathlearning.com
Systems
of
Equations
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