Download Answers to Systems practice 3-21

Kuta Software - Infinite Algebra 2
Name___________________________________
Systems of Two Equations
Date________________ Period____
Solve each system by graphing.
1) y = −3 x + 4
y = 3x − 2
−5
−4
−3
−2
2) y = x + 2
x = −3
5
5
4
4
3
3
2
2
1
1
−1 0
−1
1
2
3
4
5
−5
−3
−2
−1 0
−1
−2
−3
−3
−4
−4
−5
−5
1
2
3
4
5
1
2
3
4
5
(−3, −1)
3) x − y = 3
7 x − y = −3
−4
−3
−2
(1, 1)
−5
−4
−2
4) 4 x + y = 2
x− y=3
5
5
4
4
3
3
2
2
1
1
−1 0
−1
1
2
3
4
5
−5
−4
−3
−2
−1 0
−1
−2
−2
−3
−3
−4
−4
−5
−5
(−1, −4)
(1, −2)
Solve each system by substitution.
5) y = 4 x − 9
y=x−3
6) 4 x + 2 y = 10
x − y = 13
(2, −1)
(6, −7)
7) y = −5
5 x + 4 y = −20
(0, −5)
8) x + 7 y = 0
2 x − 8 y = 22
(7, −1)
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Worksheet by Kuta Software LLC
9) 6 x + 8 y = −22
y = −5
(3, −5)
11) 7 x + 2 y = −19
− x + 2 y = 21
(−5, 8)
13) −7 x + 4 y = 24
4x − 4 y = 0
(−8, −8)
Solve each system by elimination.
10) −7 x + 2 y = 18
6x + 6 y = 0
(−2, 2)
12) 3 x − 5 y = 17
y = −7
(−6, −7)
14) 4 x − y = 20
−2 x − 2 y = 10
(3, −8)
15) 8 x − 6 y = −20
−16 x + 7 y = 30
16) 6 x − 12 y = 24
−x − 6 y = 4
(−1, 2)
17) −8 x − 10 y = 24
6x + 5 y = 2
(7, −8)
(2, −1)
18) −24 − 8 x = 12 y
5
7
1+ y=− x
9
18
(6, −6)
19) −4 y − 11 x = 36
20 = −10 x − 10 y
20) −9 + 5 y = −4 x
−11 x = −20 + 9 y
(−4, 2)
21) 0 = −2 y + 10 − 6 x
14 − 22 y = 18 x
(1, 1)
22) −16 y = 22 + 6 x
−11 y − 4 x = 15
(2, −1)
23) −16 + 20 x − 8 y = 0
36 = −18 y − 22 x
(−1, −1)
5 11
−
x = −y
7
7
2 y = 7 + 5x
24) −
(0, −2)
(−3, −4)
Critical thinking questions:
25) Write a system of equations with the solution (4, −3).
Many answers. Ex: x + y = 1, 2 x + y = 5
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Pre-Algebra
Name___________________________________
Systems of Equations Word Problems
Date________________ Period____
1) Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7
then how many of each kind did she buy?
2 fancy shirts and 5 plain shirts
2) There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. How
many of each animal are there?
6 chickens and 7 pigs
3) A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs.
How many of each animal are there?
2 ducks and 8 pigs
4) A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the
number of cars and the number of buses they took if each car holds 5 students and each bus hold 45
students.
3 cars and 4 buses
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Worksheet by Kuta Software LLC