SYS-SU - Solving Systems of Equations by Substitution

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Last updated 3:40 PM on 6/9/26
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31 Terms

1
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(-1, -4)

y = 4x

3x - y = 1

2
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(4, 2)

x = 2y

y = x - 2

3
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(5, 3)

x - 2y = -1

3y = x + 4

4
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(4, -2)

x + 2y = 0

3x + 4y = 4

5
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(1, 2)

x + 3y = 7

2x - 4y = -6

6
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(-2, -4)

y = 2x

4x - y = -4

7
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(9, 4)

x - 3y = -3

2x + 5y = 38

8
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(3, 5)

2x - 3y = -9

3x - y = 4

9
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(1,4)

What is the solution to this system of equations. Solve by using substitution.

y = 4x

x + y = 5

10
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(-2,-4)

What is the solution to this system of equations. Solve by using substitution.

y = 2x

x + 3y = -14

11
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(8,-2)

What is the solution to this system of equations. Solve by using substitution.

x = -4y

3x + 2y = 20

12
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(-2, -9)

What is the solution to this system of equations. Solve by using substitution.

y = 4x -1

y = 2x -5

13
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(2,1)

What is the solution to this system of equations. Solve by using substitution.

y = x -1

x + y = 3

14
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(-6,1)

What is the solution to this system of equations. Solve by using substitution.

x = y - 7

x + 8y = 2

15
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(-1,5)

What is the solution to this system of equations. Solve by using substitution.

y = 3x + 8

5x +2y = 5

16
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(6,-3)

What is the solution to this system of equations. Solve by using substitution.

2x - 3y = 21

y = 3 - x

17
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(3,7)

What is the solution to this system of equations. Solve by using substitution.

y = 5x - 8

4x + 3y = 33

18
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(16,4)

What is the solution to this system of equations. Solve by using substitution.

x = 4y

3x - 2y = 40

19
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(5,8)

What is the solution to this system of equations. Solve by using substitution.

y = x + 3

2x + y = 18

20
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(-3,-3)

y = 6x + 15

-x - y = 6

21
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(-1,2)

-4x +5y = 14

y = 3x + 5

22
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(-3,6)

5x + 5y = 15

y = -4x - 6

23
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Infinite number of solutions

y = 3x -11

3x - y = 11

24
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(8,7)

8x - 7y = 15

y = 2x - 9

25
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No solution, lines are parallel

y = -4x +7

8x +2y = -4

26
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(1, -2)

-7x - 2y = -3

y = 4x - 6

27
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(7,8)

y = 4x - 20

4x - 2y = 12

28
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(5,7)

y = 2x - 3

-2x + 4y = 18

29
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(-2,4)

-6x + 2y = 20

y = 6x + 16

30
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(6,1)

-4x + 4y = -20

y = -3x + 19

31
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(-1,-8)

y = 4x - 4

3x + 2y = -19