solving systems of linear equations solve each...
TRANSCRIPT
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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