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3 years ago

Solve the following system of equations. 4x-2y-z=-5 x-3y+2z=3 3x+y-2z=-5

1 answer:

3 0

4x - 2y - z = - 5 ______×2x - 3y + 2z = 3 _______×13x + y - 2z = - 5 ______×1
8x - 4y - 2z = - 10x - 3y + 2z = 33x + y - 2z = - 5
8x - 4y - 2z = - 10(+) x - 3y + 2z = 3_____________9x - 7y = - 77y = 9x + 7y = 9/7x + 1
x - 3y + 2z = 3(+) 3x + y - 2z = - 5_____________4x - 2y = - 24x - 2(9/7x + 1) = - 24x - 18/7x - 2 = - 210/7x = 0x = 0
y = 9/7(0) + 1y = 1
0 - 3(1) + 2z = 32z = 6z = 3

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The area of the blue rectangle is 8/11 of the flag

The area of a shape is the amount of space it occupies

The width is given as:

$Width = \frac 25$

<h3>Blue region </h3>

The blue region of the American flag has a dimension of 8 by 11 stars.

So, we have:

$8 : 11 = x : \frac 25$

Where x represents the length of the blue region.

Express the ratio as fractions

$\frac{8 }{ 11} = x \div \frac 25$

Multiply both sides by 2/5

$\frac{8 }{ 11} \times \frac 52= x$

$\frac{20}{ 11} = x$

Rewrite as:

$x =\frac{20}{ 11}$

The area is then calculated as:

$Area =\frac{20}{ 11} \times \frac 25$

$Area =\frac{40}{ 55}$

Simplify

$Area =\frac{8}{ 11}$

Hence, the area of the blue rectangle is 8/11 of the flag

Read more about areas at:

brainly.com/question/14137384

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Alex_Xolod [135]

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