solving systems of linear equations solve each...

SOLVINGSYSTEMSOFLINEAREQUATIONSSolveeachsystembygraphing.

𝑦 =13𝑥 + 4

𝑦 = −43𝑥 − 1

𝑦 = −𝑥 + 1

𝑦 = −14𝑥 − 2

SOLVINGSYSTEMSOFLINEAREQUATIONSSolveeachsystembysubstitution.

x+5y=20-3x–5y=-207x+y=7-7x–8y=-7

SOLVINGSYSTEMSOFLINEAREQUATIONSSolveeachsystembyelimination.

5x+y=-13x+2y=16x–9y=-30-x+18y=5

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Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________Systems of Two Equations

Solve each system by graphing.

1)

y =

−3

x + 4

y =

3

x − 2

−5 −4 −3 −2 −1 0 1 2 3 4 5

−5

−4

−3

−2

−1

1

2

3

4

5

2)

y =

x + 2

x = −3

−5 −4 −3 −2 −1 0 1 2 3 4 5

−5

−4

−3

−2

−1

1

2

3

4

5

3)

x −

y = 3

7

x −

y = −3

−5 −4 −3 −2 −1 0 1 2 3 4 5

−5

−4

−3

−2

−1

1

2

3

4

5

4)

4

x +

y = 2

x −

y = 3

−5 −4 −3 −2 −1 0 1 2 3 4 5

−5

−4

−3

−2

−1

1

2

3

4

5

Solve each system by substitution.

5)

y =

4

x − 9

y =

x − 3

6)

4

x + 2

y = 10

x −

y = 13

7)

y = −5

5

x + 4

y = −20

8)

x + 7

y = 0

2

x − 8

y = 22

-1-

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9)

6

x + 8

y = −22

y = −5

10)

−7

x + 2

y = 18

6

x + 6

y = 0

11)

7

x + 2

y = −19

−

x + 2

y = 21

12)

3

x − 5

y = 17

y = −7

13)

−7

x + 4

y = 24

4

x − 4

y = 0

14)

4

x −

y = 20

−2

x − 2

y = 10

Solve each system by elimination.

15)

8

x − 6

y = −20

−16

x + 7

y = 30

16)

6

x − 12

y = 24

−

x − 6

y = 4

17)

−8

x − 10

y = 24

6

x + 5

y = 2

18)

−24 − 8

x = 12

y

1 +

5

9

y =

−7

18

x

19)

−4

y − 11

x = 36

20 =

−10

x − 10

y

20)

−9 + 5

y = −4

x

−11

x =

−20 + 9

y

21) 0 =

−2

y + 10 − 6

x

14 − 22

y = 18

x

22) −16

y =

22 + 6

x

−11

y − 4

x = 15

23)

−16 + 20

x − 8

y = 0

36 =

−18

y − 22

x24)

−5

7 −

11

7

x = −

y

2

y =

7 + 5

x

Critical thinking questions:

25) Write a system of equations with the solution (4, −3).

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