solving systems of linear equations solve each...
TRANSCRIPT
SOLVINGSYSTEMSOFLINEAREQUATIONSSolveeachsystembygraphing.
π¦ =13π₯ + 4
π¦ = β43π₯ β 1
π¦ = βπ₯ + 1
π¦ = β14π₯ β 2
SOLVINGSYSTEMSOFLINEAREQUATIONSSolveeachsystembysubstitution.
x+5y=20-3xβ5y=-207x+y=7-7xβ8y=-7
SOLVINGSYSTEMSOFLINEAREQUATIONSSolveeachsystembyelimination.
5x+y=-13x+2y=16xβ9y=-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 =
β3
x + 4
y =
3
x β 2
β5 β4 β3 β2 β1 0 1 2 3 4 5
β5
β4
β3
β2
β1
1
2
3
4
5
2)
y =
x + 2
x = β3
β5 β4 β3 β2 β1 0 1 2 3 4 5
β5
β4
β3
β2
β1
1
2
3
4
5
3)
x β
y = 3
7
x β
y = β3
β5 β4 β3 β2 β1 0 1 2 3 4 5
β5
β4
β3
β2
β1
1
2
3
4
5
4)
4
x +
y = 2
x β
y = 3
β5 β4 β3 β2 β1 0 1 2 3 4 5
β5
β4
β3
β2
β1
1
2
3
4
5
Solve each system by substitution.
5)
y =
4
x β 9
y =
x β 3
6)
4
x + 2
y = 10
x β
y = 13
7)
y = β5
5
x + 4
y = β20
8)
x + 7
y = 0
2
x β 8
y = 22
-1-
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9)
6
x + 8
y = β22
y = β5
10)
β7
x + 2
y = 18
6
x + 6
y = 0
11)
7
x + 2
y = β19
β
x + 2
y = 21
12)
3
x β 5
y = 17
y = β7
13)
β7
x + 4
y = 24
4
x β 4
y = 0
14)
4
x β
y = 20
β2
x β 2
y = 10
Solve each system by elimination.
15)
8
x β 6
y = β20
β16
x + 7
y = 30
16)
6
x β 12
y = 24
β
x β 6
y = 4
17)
β8
x β 10
y = 24
6
x + 5
y = 2
18)
β24 β 8
x = 12
y
1 +
5
9
y =
β7
18
x
19)
β4
y β 11
x = 36
20 =
β10
x β 10
y
20)
β9 + 5
y = β4
x
β11
x =
β20 + 9
y
21) 0 =
β2
y + 10 β 6
x
14 β 22
y = 18
x
22) β16
y =
22 + 6
x
β11
y β 4
x = 15
23)
β16 + 20
x β 8
y = 0
36 =
β18
y β 22
x24)
β5
7 β
11
7
x = β
y
2
y =
7 + 5
x
Critical thinking questions:
25) Write a system of equations with the solution (4, β3).
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