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DedPeter [7]
3 years ago
6

6 16x + 5y = -2 4x - y=-2

Mathematics
1 answer:
Grace [21]3 years ago
5 0

Answer:

x=2/9,y=26/9

Step-by-step explanation:

This is a simultaneous equation

16x+5y=-2..(1)

4x-y=-2...(2)

From (2) make y the subject of formula

y=4x+2..(3)

Substitute (3) into (1)

16x+5(4x+2)=-2

16x+20x+10=-2

36x-10=-2

Add 10 to both sides

36x=8

Divide both sides by 36

x=8/36

Divide both denominator and numerator by 4

x=2/9

Substitute the value x into (3)

y=4(2/9)+2

y=8/9+2

Let the LCM be 9

y=8+18/9

y=26/9

Therefore x=2/9,y=26/9

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A school is planning to construct two rectangular play areas in the playground. The length of play area A must be 1 foot longer
Anna11 [10]

Answer:

А.The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

Given

Let:

L_A \to length of play area A

W_A \to width of play area A

L_B \to length of play area B

W_B \to width of play area B

x \to Area of A

y \to Area of B

From the question, we have the following:

L_A = 1 + 4W_A

W_B = 2 + W_A

L_B = 2 + 3W_B

x = y

The area of A is:

x = L_A * W_A

This gives:

x = (1 + 4W_A) * W_A

Open bracket

x = W_A + 4W_A^2

The area of B is:

y = L_B * W_B

y = (2 + 3W_B) * ( 2 + W_A)

Substitute: W_B = 2 + W_A

y = (2 + 3(2 + W_A)) * ( 2 + W_A)

Open brackets

y = (2 + 6 + 3W_A) * ( 2 + W_A)

y = (8 + 3W_A) * ( 2 + W_A)

Expand

y = 16 + 8W_A + 6W_A + 3W_A^2

y = 16 + 14W_A + 3W_A^2

We have that:

x = y

This gives:

W_A + 4W_A^2 = 16 + 14W_A + 3W_A^2

Collect like terms

4W_A^2 - 3W_A^2 + W_A  -14W_A  - 16 =0

W_A^2  -13W_A  - 16 =0

Using quadratic calculator, we have:

W_A = -14.1 or W = 1.13 --- approximated

But the width can not be negative; So:

W = 1.19

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3 years ago
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Step-by-step explanation:

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2 years ago
A large bag contains 12/15 pound of granola.How many 1/3 pound bags can be filled with this amount of granola? How much granola
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