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Solving Systems of Equations Review
2/27/2014
Graphing
Substitution
3x + y = 6
-x + y = -2
y = 4x
x+y=5
(2,0)
(1,4)
1
Elimination
Graphing
2x + y = 5
3x – 2y = 4
y=x–2
y = -x + 4
(2,1)
(3,1)
3
Substitution
Elimination
x=y+8
2x + y = 1
5x + 2y = 6
9x + 2y = 22
(3, -5)
(4,-7)
5
2
4
6
1
Solving Systems of Equations Review
2/27/2014
Graphing
Substitution
x = -2
y=3
y = 3x
x + 2y = -21
(-2,3)
(-3,-9)
7
Elimination
Graphing
8x - 3y = -11
2x – 5y = 27
y = -3x
4x + y = 2
(-4,-7)
(2,-6)
9
Substitution
Elimination
x = -4y
3x + 2y = 20
4x - 7y = 10
3x + 2y = -7
(8,-2)
(-1,-2)
11
8
10
12
2
Solving Systems of Equations Review
2/27/2014
Graphing
Substitution
y=x+3
3y + x = 5
x + 4y = 8
2x – 5y = 29
(-1,2)
(12,-1)
13
Elimination
Graphing
-x + y = 1
x + y = 11
y = -x
y = 2x
(5,6)
(0,0)
15
Substitution
Elimination
3x + y = 6
y+2=x
5x - 2y = -10
3x + 6y = 66
(2,0)
(2,10)
17
14
16
18
3
Solving Systems of Equations Review
2/27/2014
Graphing
Substitution
y=x-4
y = -2x + 5
x = 3 – 2y
2x + 4y = 6
(3, -1)
Infinitely Many Solutions
19
Elimination
Graphing
3x + 4y = 2
4x – 4y = 12
y = ½x
y=x+2
(2,-1)
(-4,-2)
21
Substitution
Elimination
y = 2x + 1
3x + y = -9
2x - 3y = 9
-5x – 3y = 30
(-2,-3)
(-3,-5)
23
20
22
24
4
Solving Systems of Equations Review
2/27/2014
Graphing
Substitution
y = 6x + 6
y = 3x + 6
y = 4x - 6
5x + 3y = -1
(0,6)
(1,-2)
25
Elimination
Graphing
5x + 3y = -10
3x + 5y = -6
y=x+4
y = -x - 4
(-2,0)
(-4,0)
27
Substitution
Elimination
x = y-1
-x + y = -1
3x + 4y = 19
3x + 6y = 33
No Solution
(-3,7)
29
26
28
30
5