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tatiyna
3 years ago
14

Solve this system of linear equations. Separate

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
8 0

Answer:

x = -7, y = -1

Step-by-step explanation:

Solve the following system:

{3 y - 2 x = 11 | (equation 1)

2 y + 3 x = -23 | (equation 2)

Swap equation 1 with equation 2:

{3 x + 2 y = -23 | (equation 1)

-(2 x) + 3 y = 11 | (equation 2)

Add 2/3 × (equation 1) to equation 2:

{3 x + 2 y = -23 | (equation 1)

0 x+(13 y)/3 = -13/3 | (equation 2)

Multiply equation 2 by 3/13:

{3 x + 2 y = -23 | (equation 1)

0 x+y = -1 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{3 x+0 y = -21 | (equation 1)

0 x+y = -1 | (equation 2)

Divide equation 1 by 3:

{x+0 y = -7 | (equation 1)

0 x+y = -1 | (equation 2)

Collect results:

Answer: x = -7, y = -1

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3 years ago
cylinder a has a radius of 2 inches and a height of 2 inches. cylinder b has a radius of 2 inches and a height of 4 inches. calc
Step2247 [10]
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3 years ago
Square pyramid is made up of a base with a side length of 10 inches and faces that are triangles with a height of 12 inches what
Nataly [62]

The surface area of the square pyramid is 360 in²

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Given that the side length is 10 inches.

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We need to determine the surface area of the pyramid.

The surface area of the pyramid is given by

SA=s^2+2sl

Where s is the side length and l is the slant height.

The slant height can be determined using the formula,

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where h = 12 and b=\frac{s}{2} =5

Substituting these values in the formula, we get,

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Thus, the slant height is l=13

Now, we shall find the surface area of the pyramid.

Substituting l=13 and s=10 in the formula SA=s^2+2sl, we get,

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4 years ago
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Answer: 8=201.06

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5 0
3 years ago
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