3U+2V= -17 AND 2U+V=-8 USE THE ELIMINATION METHOD TO SOLVE THE SYSTEM OF EQUATIONS

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U = 1, V = -10.

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Asked 11/11/2011 7:09:48 PM

Updated 9/27/2023 2:02:12 PM

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Solution:
Given equations:
1. 3U + 2V = -17
2. 2U + V = -8
2 * (2U + V) = 2 * (-8)
4U + 2V = -16
1. 3U + 2V = -17
2. 4U + 2V = -16
(4U + 2V) - (3U + 2V) = (-16) - (-17)
4U + 2V - 3U - 2V = 1
(4U - 3U) + (2V - 2V) = 1
U = 1
2U + V = -8
2(1) + V = -8
2 + V = -8
V = -8 - 2
V = -10

So, the solution to the system of equations is U = 1 and V = -10.

Added 9/27/2023 2:02:12 PM

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iN A CERTAIN YEAR OUT OF POCKET EXPENSES FOR AN ELDERLY PERSON IN POOR HEALTH WERE $3338 MORE THAN FOR AN ELDERLY PERSON IN GOOD HEALTH. COMBINED OUT OF POCKET EXPENSES FOR ONE PERSON IN POOR HEALTH AND ONE PERSON IN GOOD HEALTH WERE $6574. FIND THE OUT OF POCKET EXPENSES FOR EACH TYPE OF PERSON.

Weegy: Elderly poor health: $4956 Elderly good health: $1618 (More)

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Expert Answered

Updated 356 days ago|11/27/2024 7:33:03 AM

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cruz30

Given:
1. y = x + $3338
2. x + y = $6574
Substitute the value of y from equation 1 into equation 2:
x + (x + $3338) = $6574
2x + $3338 = $6574
2x = $6574 - $3338
2x = $3236
x = $1618
Now, substitute the value of x back into equation 1 to find y:
y = $1618 + $3338
y = $4956
Therefore, the out-of-pocket expenses for an elderly person in good health are $1618, and for an elderly person in poor health is $4956.

Added 356 days ago|11/27/2024 7:33:03 AM

This answer has been confirmed as correct and helpful.

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Asked 11/11/2011 8:31:45 PM

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