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Solve the system x + 4y = 4, 3x - 5y = -5 by the substitution method or addition method.
Select one:
A. (1, 1)
B. (1, 0)
C. (0, 0)
D. (0, 1)
E. (4, 0)
Question 2
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Solve the system 3x + y = 13, 2x + 9y = -8 by the substitution method or addition method.
Select one:
A. (5, -2)
B. (5, 2)
C. (-5, -2)
D. (-5, 2)
E. (1, 10)
Question 3
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Solve the system of equations x - y + z = 2, x + y + z = 0, x + y - z = -6.
Select one:
A. (3, -2, -1)
B. (-1, 3, -2)
C. (-2, 3, -1)
D. (-2, -1, 3)
E. (0, -1, 1)
Question 4
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You invest a total of $200,000 for one year, part at 9% interest and part at 8% interest. The total
annual interest is $17,200. How much was invested at each interest rate?
Select one:
A. $80,000 at 9% and 120,000 at 8%
B. $100,000 at 9% and $100,000 at 8%
C. $120,000 at 9% and $80,000 at 8%
D. $90,000 at 9% and $110,000 at 8%
E. $115,000 at 9% and $85,000 at 8%
Question 1
Not yet answered
Marked out of 1
Flag question
Solve the system x + 4y = 4, 3x - 5y = -5 by the substitution method or addition method.
Select one:
A. (1, 1)
B. (1, 0)
C. (0, 0)
D. (0, 1)
E. (4, 0)
Question 1
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Marked out of 1
Flag question
Solve the system x + 4y = 4, 3x - 5y = -5 by the substitution method or addition method.
Select one:
A. (1, 1)
B. (1, 0)
C. (0, 0)
D. (0, 1)
E. (4, 0)
Question 1
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Marked out of 1
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Solve the system x + 4y = 4, 3x - 5y = -5 by the substitution method or addition method.
Select one:
A. (1, 1)
B. (1, 0)
C. (0, 0)
D. (0, 1)
E. (4, 0)
Not yet answered
Marked out of 1
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Solve the system x + 4y = 4, 3x - 5y = -5 by the substitution method or addition method.
Select one:
A. (1, 1)
B. (1, 0)
C. (0, 0)
D. (0, 1)
E. (4, 0)
Select one:
A. (1, 1)
B. (1, 0)
C. (0, 0)
D. (0, 1)
E. (4, 0)
A. (1, 1)
B. (1, 0)
C. (0, 0)
D. (0, 1)
E. (4, 0)
Question 2
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Question text
Solve the system 3x + y = 13, 2x + 9y = -8 by the substitution method or addition method.
Select one:
A. (5, -2)
B. (5, 2)
C. (-5, -2)
D. (-5, 2)
E. (1, 10)
Question 2
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Flag question
Not yet answered
Marked out of 1
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Question text
Solve the system 3x + y = 13, 2x + 9y = -8 by the substitution method or addition method.
Select one:
A. (5, -2)
B. (5, 2)
C. (-5, -2)
D. (-5, 2)
E. (1, 10)
Question text
Solve the system 3x + y = 13, 2x + 9y = -8 by the substitution method or addition method.
Select one:
A. (5, -2)
B. (5, 2)
C. (-5, -2)
D. (-5, 2)
E. (1, 10)
Solve the system 3x + y = 13, 2x + 9y = -8 by the substitution method or addition method.
Select one:
A. (5, -2)
B. (5, 2)
C. (-5, -2)
D. (-5, 2)
E. (1, 10)
Select one:
A. (5, -2)
B. (5, 2)
C. (-5, -2)
D. (-5, 2)
E. (1, 10)
A. (5, -2)
B. (5, 2)
C. (-5, -2)
D. (-5, 2)
E. (1,.
Question 1Not yet answeredMarked out of 1Flag question.pdf
1. Question 1
Not yet answered
Marked out of 1
Flag question
Solve the system x + 4y = 4, 3x - 5y = -5 by the substitution method or addition method.
Select one:
A. (1, 1)
B. (1, 0)
C. (0, 0)
D. (0, 1)
E. (4, 0)
Question 2
Not yet answered
Marked out of 1
Flag question
Question text
Solve the system 3x + y = 13, 2x + 9y = -8 by the substitution method or addition method.
Select one:
A. (5, -2)
B. (5, 2)
C. (-5, -2)
D. (-5, 2)
E. (1, 10)
2. Question 3
Not yet answered
Marked out of 1
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Question text
Solve the system of equations x - y + z = 2, x + y + z = 0, x + y - z = -6.
Select one:
A. (3, -2, -1)
B. (-1, 3, -2)
C. (-2, 3, -1)
D. (-2, -1, 3)
E. (0, -1, 1)
Question 4
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Marked out of 1
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Question text
You invest a total of $200,000 for one year, part at 9% interest and part at 8% interest. The total
annual interest is $17,200. How much was invested at each interest rate?
Select one:
A. $80,000 at 9% and 120,000 at 8%
B. $100,000 at 9% and $100,000 at 8%
C. $120,000 at 9% and $80,000 at 8%
D. $90,000 at 9% and $110,000 at 8%
E. $115,000 at 9% and $85,000 at 8%
3. Question 1
Not yet answered
Marked out of 1
Flag question
Solve the system x + 4y = 4, 3x - 5y = -5 by the substitution method or addition method.
Select one:
A. (1, 1)
B. (1, 0)
C. (0, 0)
D. (0, 1)
E. (4, 0)
Question 1
Not yet answered
Marked out of 1
Flag question
Solve the system x + 4y = 4, 3x - 5y = -5 by the substitution method or addition method.
Select one:
A. (1, 1)
B. (1, 0)
C. (0, 0)
D. (0, 1)
E. (4, 0)
Question 1
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Marked out of 1
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Solve the system x + 4y = 4, 3x - 5y = -5 by the substitution method or addition method.
Select one:
4. A. (1, 1)
B. (1, 0)
C. (0, 0)
D. (0, 1)
E. (4, 0)
Not yet answered
Marked out of 1
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Solve the system x + 4y = 4, 3x - 5y = -5 by the substitution method or addition method.
Select one:
A. (1, 1)
B. (1, 0)
C. (0, 0)
D. (0, 1)
E. (4, 0)
Select one:
A. (1, 1)
B. (1, 0)
C. (0, 0)
D. (0, 1)
E. (4, 0)
A. (1, 1)
B. (1, 0)
C. (0, 0)
D. (0, 1)
E. (4, 0)
Question 2
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5. Question text
Solve the system 3x + y = 13, 2x + 9y = -8 by the substitution method or addition method.
Select one:
A. (5, -2)
B. (5, 2)
C. (-5, -2)
D. (-5, 2)
E. (1, 10)
Question 2
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Not yet answered
Marked out of 1
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Question text
Solve the system 3x + y = 13, 2x + 9y = -8 by the substitution method or addition method.
Select one:
A. (5, -2)
B. (5, 2)
C. (-5, -2)
D. (-5, 2)
E. (1, 10)
Question text
Solve the system 3x + y = 13, 2x + 9y = -8 by the substitution method or addition method.
6. Select one:
A. (5, -2)
B. (5, 2)
C. (-5, -2)
D. (-5, 2)
E. (1, 10)
Solve the system 3x + y = 13, 2x + 9y = -8 by the substitution method or addition method.
Select one:
A. (5, -2)
B. (5, 2)
C. (-5, -2)
D. (-5, 2)
E. (1, 10)
Select one:
A. (5, -2)
B. (5, 2)
C. (-5, -2)
D. (-5, 2)
E. (1, 10)
A. (5, -2)
B. (5, 2)
C. (-5, -2)
D. (-5, 2)
E. (1, 10)
Question 3
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7. Question text
Solve the system of equations x - y + z = 2, x + y + z = 0, x + y - z = -6.
Select one:
A. (3, -2, -1)
B. (-1, 3, -2)
C. (-2, 3, -1)
D. (-2, -1, 3)
E. (0, -1, 1)
Question 3
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Not yet answered
Marked out of 1
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Question text
Solve the system of equations x - y + z = 2, x + y + z = 0, x + y - z = -6.
Select one:
A. (3, -2, -1)
B. (-1, 3, -2)
C. (-2, 3, -1)
D. (-2, -1, 3)
E. (0, -1, 1)
Question text
Solve the system of equations x - y + z = 2, x + y + z = 0, x + y - z = -6.
8. Select one:
A. (3, -2, -1)
B. (-1, 3, -2)
C. (-2, 3, -1)
D. (-2, -1, 3)
E. (0, -1, 1)
Solve the system of equations x - y + z = 2, x + y + z = 0, x + y - z = -6.
Select one:
A. (3, -2, -1)
B. (-1, 3, -2)
C. (-2, 3, -1)
D. (-2, -1, 3)
E. (0, -1, 1)
Select one:
A. (3, -2, -1)
B. (-1, 3, -2)
C. (-2, 3, -1)
D. (-2, -1, 3)
E. (0, -1, 1)
A. (3, -2, -1)
B. (-1, 3, -2)
C. (-2, 3, -1)
D. (-2, -1, 3)
E. (0, -1, 1)
Question 4
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9. Question text
You invest a total of $200,000 for one year, part at 9% interest and part at 8% interest. The total
annual interest is $17,200. How much was invested at each interest rate?
Select one:
A. $80,000 at 9% and 120,000 at 8%
B. $100,000 at 9% and $100,000 at 8%
C. $120,000 at 9% and $80,000 at 8%
D. $90,000 at 9% and $110,000 at 8%
E. $115,000 at 9% and $85,000 at 8%
Question 4
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Flag question
Not yet answered
Marked out of 1
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Question text
You invest a total of $200,000 for one year, part at 9% interest and part at 8% interest. The total
annual interest is $17,200. How much was invested at each interest rate?
Select one:
A. $80,000 at 9% and 120,000 at 8%
B. $100,000 at 9% and $100,000 at 8%
C. $120,000 at 9% and $80,000 at 8%
D. $90,000 at 9% and $110,000 at 8%
E. $115,000 at 9% and $85,000 at 8%
Question text
You invest a total of $200,000 for one year, part at 9% interest and part at 8% interest. The total
10. annual interest is $17,200. How much was invested at each interest rate?
Select one:
A. $80,000 at 9% and 120,000 at 8%
B. $100,000 at 9% and $100,000 at 8%
C. $120,000 at 9% and $80,000 at 8%
D. $90,000 at 9% and $110,000 at 8%
E. $115,000 at 9% and $85,000 at 8%
You invest a total of $200,000 for one year, part at 9% interest and part at 8% interest. The total
annual interest is $17,200. How much was invested at each interest rate?
Select one:
A. $80,000 at 9% and 120,000 at 8%
B. $100,000 at 9% and $100,000 at 8%
C. $120,000 at 9% and $80,000 at 8%
D. $90,000 at 9% and $110,000 at 8%
E. $115,000 at 9% and $85,000 at 8%
Select one:
A. $80,000 at 9% and 120,000 at 8%
B. $100,000 at 9% and $100,000 at 8%
C. $120,000 at 9% and $80,000 at 8%
D. $90,000 at 9% and $110,000 at 8%
E. $115,000 at 9% and $85,000 at 8%
A. $80,000 at 9% and 120,000 at 8%
B. $100,000 at 9% and $100,000 at 8%
C. $120,000 at 9% and $80,000 at 8%
D. $90,000 at 9% and $110,000 at 8%
E. $115,000 at 9% and $85,000 at 8%
Solution
1. x = 4-4y
3(4-4y)-5y = -5
11. 12-17y = -5
y = 1
x = 0
therefore, D. (0,1)
2. y = 13-3x
2x + 9(13-3x) = -8
2x + 117 - 27x = -8
25x = 125
x = 5
y -2
therefore, A. (5,-2)
3. Adding first 2 equations gives 2x + 2z = 2
i.e x + z = 1
and adding 2nd and 3rd equation gives 2x + 2y = -6 OR x+y = -3
Only choice D (-2,-1,3) satisfies these 2 equations.
4. x+y = 200000
0.09x + 0.08y = 17200
0.09x + 0.08(200000-x) = 17200
0.09x + 16000 - 0.08x = 17200
0.01x = 1200
x = 120,000 y = 80,000
therefore, C. $120,000 at 9% and $80,000 at 8%