Systems of Two Equations Cramers Rule.pdf - Kuta Software

Kuta Software - Infinite Algebra 2 Name___________________________________
Solving Systems of Two Equations w/ Cramer's Rule
Use Cramer's Rule to solve each system.
1)
3)
5)
7)
9)
11)
13)
x − 5y
= −5
−4x
− 2y
= 20
2x
+ 2y
= 0
4x
− y = −20
−x
− y = −1
3x
+ 3y
= 3
−x
+ 4y
= −2
−2x
+ 5y
= −4
4x
+ 4y
= −32
2x
+ 2y
= −16
4r
+ s = −14
−5r
− 5s
= 25
6a
+ b = −2
5a
+ 6b
= −2
Date________________
Period____
©K H270D1g2s aKRuytPaH 1SooZf4t2wnalr8eA ELRLiCI.t N pAwlel9 ErlikgchptOsp TrmeAsKeYrDv5e0d9.R b 9MIasd2el tw0i3t2hH UIQnMfAiWnSi8the4 HAclpg0elblr9aZ T2K.X Worksheet by Kuta Software LLC
2)
4)
6)
8)
10)
12)
14)
−x
+ 5y
= 2
x − 2y
= −2
3x
− 4y
= 1
−5x
+ 2y
= 3
−5x
+ 5y
= 10
−2x
+ 2y
= −4
−5x
− 5y
= 25
−2x
− 4y
= 16
7a
− b = −1
−4a
− 2b
= −2
x − 3y
= 5
−3x
+ 6y
= 8
2a
− 3b
= −8
4a
+ 3b
= −34

Kuta Software - Infinite Algebra 2 Name___________________________________
Solving Systems of Two Equations w/ Cramer's Rule
Use Cramer's Rule to solve each system.
1)
3)
5)
7)
9)
11)
13)
x − 5y
= −5
−4x
− 2y
= 20
(−5, 0)
2x
+ 2y
= 0
4x
− y = −20
(−4, 4)
−x
− y = −1
3x
+ 3y
= 3
Infinitely many solutions
−x
+ 4y
= −2
−2x
+ 5y
= −4
(2, 0)
4x
+ 4y
= −32
2x
+ 2y
= −16
Infinitely many solutions
4r
+ s = −14
−5r
− 5s
= 25
(−3, −2)
6a
+ b = −2
5a
+ 6b
= −2
( − 10
31 , − 2
31)
Date________________
Period____
©9 f230J1a2u pKSu2tZai ySCorfpt5w4adryeU ZLULVCq.2 p 3AHlhlc 0r kingfhltNs0 Urwe9sTePryv1e7d7.d 0 GM3a8d4ee OwaiEtphw iIDnbfViAnwiSt4eR 2AslZggeFb0rgag p2g.v Worksheet by Kuta Software LLC
2)
4)
6)
8)
10)
12)
14)
−x
+ 5y
= 2
x − 2y
= −2
(−2, 0)
3x
− 4y
= 1
−5x
+ 2y
= 3
(−1, −1)
−5x
+ 5y
= 10
−2x
+ 2y
= −4
No solution.
−5x
− 5y
= 25
−2x
− 4y
= 16
(−2, −3)
7a
− b = −1
−4a
− 2b
= −2
(0, 1)
x − 3y
= 5
−3x
+ 6y
= 8
( −18, − 23
3 )
2a
− 3b
= −8
4a
+ 3b
= −34
(−7, −2)
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com