Download Unit 6 WS 5 - solv sys by elim part 1

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ID: 1
Algebra 1B
Name___________________________________
Unit 6 WS 5 - Solving Systems by Elimination Pt 1
Date________________ Period____
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Solve each system by elimination.
1) 3 x + y = 8
−4 x − y = −12
2) −4 x − 5 y = 6
x + 5 y = −9
3) 3 x − y = −13
−3 x + 5 y = 17
4) 2 x − 3 y = −7
−2 x − y = −13
5) x + y = −5
2 x + y = −6
6) 2 x + 6 y = 6
2x + 5 y = 3
7) x + 5 y = 17
−2 x + 5 y = 11
8) x − 5 y = 3
x − 2y = 3
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-1-
Worksheet by Kuta Software LLC
Solve each system by graphing.
10) x + y = −3
x − 4 y = −8
9) y = x + 4
y = −4 x − 1
−5
−4
−3
−2
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
2
3
4
5
Solve each system by substitution.
11) y = −6 x − 15
5 x − 2 y = −4
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12) 5 x + y = −5
−4 x − 5 y = −17
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Worksheet by Kuta Software LLC
13) Cassandra's age is four more than half of Ty's age. Let C represent Cassandra's age and T represent Ty's
age. Write an equation that can be used to determine Cassandra's age.
14) Susie's age is five less than double Tim's age. Let S represent Susie's age and T represent Tim's age.
Write an equation that can be used to determine Susie's age.
15) The equipment rental charges were $13 per hour plus a deposit of $36. Write an equation that
represents the total rental charge y in terms of hours x used.
16) Nancy charges $10 to type a paper plus $0.35 per page. Write an equation that represents the total
charge T for typing a paper that has p pages.
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Worksheet by Kuta Software LLC
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