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3 years ago

Algebraically solve the system of equations 2x + y = 5 and 5x − 2y = 8.

Mathematics

1 answer:

Tpy6a [65]3 years ago

3 0

Answer:

x=2, y=1

Step-by-step explanation:

2x + y = 5

5x − 2y = 8.

Multiply the first equation by 2

2( 2x + y) = 5*2

4x +2y = 10

Add this to the 2nd equation to eliminate y

4x+2y = 10

5x -2y = 8

--------------------

9x = 18

Divide by 9

9x/9 = 18/9

x = 2

Now find y

2x+y = 5

2(2)+y = 5

4+y = 5

Subtract 4 from each side

y = 5-4

y =1

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<h3><u>Solution:</u></h3>

Given that, conservative estimate of the number of stars in the universe is $6 \times 10^{22}$

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Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see

Then from given statement,

$\text{Stars in universe} = x \times \text{ number of stars human can see}$

<em><u>Substituting given values we get,</u></em>

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