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VARVARA [1.3K]
3 years ago
7

What is the value of y in the solution to the system of equations 5x-y=25 and x+4y=-10

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
3 0

Answer:

y=-3.571

Step-by-step explanation:

To get rid of the x's make the other x cancel out the other.

5x-y=25+(-5(x+4y=-10)=-21y=75= -3.571

yan [13]3 years ago
3 0

Answer:

x+4y =10

5x-y =25

Step-by-step explanation:

x=10-4y

5(10-4y)-y =25

50-20y-y =25

50-21y = 25

-21y = 25-50

-21y =-25

y =25/21

Substitute y =25/21 in equation 1

x + 4(25/21) = 10

x +100/84 =10

x=10-100/84

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The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is
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Answer:

Area of each piece = 104 cm^{2}

Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.

Step-by-step explanation:

Given that:

Dimensions of the rectangular board as:

Length of the board is 10 cm longer than its width.

Width of the board = 26 cm

Length of the board = 26 + 10 = 36 cm

The rectangular board is divided into 9 equal pieces.

To find:

Area of each piece and

the possible dimensions of each piece = ?

Solution:

First of all, let us calculate the area of bigger rectangular board.

Area of a rectangle is given by the following formula:

Area = Length \times Width

Area = 26 \times 36 cm^2

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To find the possible dimensions, we need to find the factors of 104.

104 = 26 \times 4

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13 cm by 8 cm.

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