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1. |
Use substitution to solve the system of equations given below.
y = 2x
5x - y = -24 |
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A. |
infinitely many solutions |
B. |
(-4, -8) |
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C. |
no solution |
D. |
(-8, -16) |
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Hint |
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2. |
Use substitution to solve the system of equations.
5x + 5y = -30
2x - y = 15 |
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A. |
infinitely many solutions |
B. |
(3, -9) |
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C. |
no solution |
D. |
(21, 27) |
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Hint |
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3. |
Brenda and Amparo left their homes for their morning runs at the same time. Brenda can run a 10-minute mile and Amparo can run a 12-minute mile. Combined, they ran 15 miles in a total of 2 hours and 42 minutes (162 minutes). How many miles did each woman run? |
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A. |
Brenda ran 8 miles; Amparo ran 7 miles |
B. |
Brenda ran 9 miles; Amparo ran 6 miles |
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C. |
Brenda ran 10 miles; Amparo ran 5 miles |
D. |
Brenda ran 11 miles; Amparo ran 4 miles. |
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Hint |
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4. |
Use substitution to solve the system of equations given by x – 4y = 24 and 3x – 4y = 16. |
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A. |
(-4, 7) |
B. |
(-4, -7) |
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C. |
(10, -3.5) |
D. |
(10, 3.5) |
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Hint |
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5. |
Use substitution to solve the system of equations given by y =  and 28x – 32y = -8. |
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A. |
no solution |
B. |
infinitely many solutions |
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C. |
(1, 1) |
D. |
(2, 2) |
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Hint |
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