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katovenus [111]
3 years ago
8

Which ordered pair is a solution to the system of linear equations? 2x + 3y= 6 –3x + 5y = 10

Mathematics
1 answer:
n200080 [17]3 years ago
7 0

Answer:

(0,2)

Step-by-step explanation:

solve by addition/elimination

2x + 3y= 6

–3x + 5y = 10  

multiply first equation by 3  and second one by 2 to eliminate x)

6x+9y=18

-6x+10y=20 (add the two equations)

6x+9y-6x+10y=38

19y=38

y=38/19=2

2x+3y=6

2x=6-6

x=0

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<u>Given the Parameters</u> :

Initial depth of fish = - 13.52

Change in elevation of fish = 7.8 feets

Positions below sea level are represented as negative values (-) ;

Hence, initial position of fish = - 13.52

Change in position = Rise in depth of 7.8 feets

<u>The numerical representation of the final position of the </u><u>fish</u><u> </u><u>can</u><u> </u><u>be</u><u> written thus</u> :

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Hence, the final position of the fish will be :

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Learn more : brainly.com/question/18109354

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What is x2 – 6 = 16x + 30 rewritten in standard form, then factored?
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Answer:

The standard form of quadratic equation is x^2-16x-36=0

The factored form of x^2-16x-36=0 is (x+2)(x-18)=0

Step-by-step explanation:

Given equation x^2-6=16x+30

We have to write  in standard form and then factorize the given equation.

The standard form for a general quadratic equation is given as ax^2+bx+c=0

Consider x^2-6=16x+30

Taking all terms to left side, we have,

x^2-6-16x-30=0

Adding like terms, we have,

x^2-16x-36=0

Now we will factorize it.

We will solve the quadratic equation x^2-16x-36=0 using middle term splitting method,

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x^2-16x-36=0  becomes

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