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Sholpan [36]
3 years ago
7

Use elimination to solve each system of equations. 1. 3x+4y=29 6x+5y=43

Mathematics
1 answer:
kakasveta [241]3 years ago
4 0

Answer:

Step-by-step explanation:

3x+4y=29 .......(1)

6x+5y=43 .......(2)

Multiply equation (1) by 2

6x + 8y = 58......(3)

Substracting (2) from (3)

8y - 5y = 58 - 43

3y = 15

Dividing by 3

3y/3 = 15/3

y = 5

Substituting y = 5 into (2)

6x+5y=43

6x + 5(5) = 43

6x + 25 = 43

6x = 43 - 25

6x = 18

Dividing by 6

6x/6 = 18/6

x = 3

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Answer:

The total length of fabric sue buys is 8.5 yards and total cost of the fabric is $42.5 .

Step-by-step explanation:

As given

Sue buys 5 pieces of fabric.

Each\ piece\ is\ 1 \frac{7}{10}\ yards\ long.

i.e

Each\ piece\ is\ \frac{17}{10}\ yards\ long.

Total\ length\ of\ fabric\ sue\ buys = \frac{5\times 17}{10}\ yards

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In the decimal form

Total length of fabric sue buys = 8.5 yards

As given

One yard of the fabric costs $5

Total\ cost\ of\ fabric\ sue\ buys = 8.5\times 5

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Therefore the total length of fabric sue buys is 8.5 yards and total cost of the fabric is $42.5 .


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