Integrated Math
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Solving Systems of Equations using Substitution, Elimination, and Graphing Practice Solve each system by substitution. 1) y = 3x + 6 y = −4x − 1
2) y = −4x − 12 y = 3x + 9
A) (1, 3) C) (3, −1)
B) (3, 1) D) (−1, 3)
3) x + 3 y = 9 4x − 2 y = −6 A) (0, 3) C) (3, 0)
A) (0, −3) C) (2, 4)
B) (−2, −3) D) (−3, 0)
4) x + 4y = −14 2x − 4y = −4 B) (−3, 0) D) (0, −3)
5) −x − 4 y = 10 7x + 8 y = 10 A) (−6, −4) C) (6, −4)
A) (−6, 2) C) (2, −2)
B) (−6, −2) D) (2, −6)
6) 4x + 3y = 20 8x − 2y = 8 B) (−6, 4) D) (−4, −6)
A) (−2, −4) C) (2, 4)
B) No solution D) (−2, 4)
Solve each system by elimination. 7) −x − 3 y = −3 5x + 3 y = −9 A) B) C) D)
8) 4x + y = −11 −x − y = 5
(−3, −2)
A) (4, −3) C) (−2, −3)
Infinite number of solutions No solution (−3, 2)
9) −4x + y = 4 −8x + 9 y = −20 A) (−4, 1) C) (4, −4)
10) 3x − 6y = −24 −6x + 7 y = 8 B) (−2, −4) D) (−4, −1)
11) −4x + 16 = 4y −6 y + 6x = −36 A) (−1, 5) C) No solution
B) (−2, 3) D) (−4, −3)
A) (−8, 10) C) (8, −10)
B) (8, 8) D) (−8, −10)
12) −48x = −32y + 32 28y = 28 + 42x B) (−12, −9) D) (1, 5)
A) B) C) D)
(−5, −11) Infinite number of solutions (5, 11) (9, −11)
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Solve each system by graphing. 14) y = x + 2 1 y= x−1 4
2 13) y = − x − 1 3 2 y= x+3 3 A) (3, −1) C) (−3, 1)
B) No solution D) (3, 1)
3 15) y = x − 2 2 3 y= x−9 2
B) (−2, 4) D) (−4, −2)
1 16) y = x + 7 4 5 y=− x−4 2
A) (−5, 6) C) (−6, 6)
B) No solution D) (2, 6)
17) x − 9 = −9 y 2x = −14 − 2y A) (4, 4) C) (9, 2)
A) (−2, −4) C) (−4, 2)
B) (−9, 2) D) (4, 2)
A) No solution C) (−4, 6)
B) (6, 4) D) (4, 6)
18) −2x + 2 y = 4 1 1 0=1+ y+ x 3 12 A) B) C) D)
(−4, 1) (−4, −2) Infinite number of solutions (−4, 2)
State if the point given is a solution to the system of equations. 19) x 2 + y 2 + 4 y − 68 = 0 x + y = −2 Point: (8, 9) A) Yes B) No Solve each system of equations. 20) x 2 + 4 y 2 − 44x + 3 y − 119 = 0 3x − y = −3 A) B) C) D)
21) y 2 + 6x + 6y − 27 = 0 14x 2 − y 2 − 90x − 6y + 27 = 0
(−2, −3), (1, 6) (1, 6) (−4, −1) (−2, −3), (−4, −1)
A) B) C) D)
(6, −3), (0, 3), (0, −9), (2, 9) (6, −3), (0, 3), (2, 9) (6, −3), (0, 3), (0, −9) (0, 3)
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Worksheet by Kuta Software LLC
