System of Equations 1 (Graphing 6.1)
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
The solution to a 
system is where the
lines intersect.
What is the solution?
(-4, -2)
(-4, 2)
(-2, -4)
No solution
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
What is the solution?
(2, 4)
(0, 4)
No Solution
(1, 4)
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
What is the solution?
(-2, 5)
(5, -2) 
(4, -2)
No solution
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
What is the solution?
(0, -3)
(-3, 1)
(-3, 0)
No Solution
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
What is the solution?
(3, 1)
(-2 -2)
Infinitely many
No solution
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
What is the solution?
(0, 3)
(0, 2)
Infinitely many
No Solution
Is (3, 4) a solution of
{
y = x + 1
y = -2x + 2
?
Yes
No
Is (-4, 1) a solution of
{
x + 5y = 1
y = 1/2x + 3
?
Yes
No
Is (-2, -5) a solution of
{
-2x - y = 9
y = x - 3
?
Yes
No
Is (0, -3) a solution of 
{
2x + y = -6
y = x - 3
?
Yes
No
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Which system has a 
solution of (6, 0)?
a
b
a
b
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