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beks73 [17]
3 years ago
9

Aileen has a total debt of $45. She is trying to pay back $6 each week for the next 4 weeks. If Aileen is successful, which amou

nt will represent the change in the amount of her debt?​
Mathematics
1 answer:
jonny [76]3 years ago
3 0

Answer:

$-21

Step-by-step explanation:

Since she is paying $6 for 4 weeks, in total she will pay:

6 x 4 = $24

She has an initial balance of $-45 Because she is in debt

Therefore you just need to add it all up

-45 + 24 = $-21

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-2<em>x</em> + 6<em>y</em> = -38

3<em>x</em> - 4<em>y</em> = 32

To solve by elimination, multiply the top equation by 3 and the bottom equation by 2.

3(-2<em>x</em> + 6<em>y</em> = -38) --> -6<em>x</em> + 18<em>y</em> = -114

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+_____________

0 + 10<em>y</em> = -50

10<em>y</em> = -50

<em>y</em> = -5

Substitute -5 for y into one of the original equations to find x.

3<em>x</em> - 4<em>y</em> = 32

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-2(4) + 6(-5) = -38

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38 = 38


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3(4) - 4(-5) = 32

12 + 20 = 32

32 = 32

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<em>x</em> = 4 and <em>y</em> = -5; (4, -5).

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