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Sati [7]
2 years ago
14

12x+10y=2

Mathematics
1 answer:
iris [78.8K]2 years ago
8 0

Answer:

Elimination would be a better method for solving the system.

<h3>Given equation </h3>
  • \sf12x+10y=2
  • \sf-x+4y= -5
<h3>Solution :-</h3>

\Rrightarrow \sf12x+10y=2

\Rrightarrow \sf6x+5y=1.......(i)

\sf\Rrightarrow-x+4y= -5 ............(ii)

\large \sf \red{ \blue{[ (ii)×6]}}

\sf\Rrightarrow-6x+24y= -30 ............(iii)

\large \sf \red{(i) +  \blue{ (iii)}}

\Rrightarrow \small\sf6x+5y=1+(-6x+24y= -30)

\Rrightarrow \sf29y =  - 29 \\

\Rrightarrow  \blue{\sf \: y =  - 1}

putting the value in equation (i)

\Rrightarrow \sf6x+5 \times  - 1=1

\Rrightarrow \sf6x - 5=1

\Rrightarrow \sf6x = 6

\Rrightarrow  \red{\sf \: x = 1}

\overline{\underline{\rule{209pt}{2pt}}}

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Answer:

x = -12

y = 11

Step-by-step explanation:

i used substitution and let 'x' = 10 - 2y

3(10 - 2y) + 4y = 8

30 - 6y + 4y = 8

30 -2y = 8

-2y = -22

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x + 2(11) = 10

x + 22 = 10

x = -12

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3 years ago
A bee flies 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for fifteen minutes. Then i
Ksenya-84 [330]

A. The equation to find the distance of the flowerbed from the hive is: \frac{x}{20}+\frac{x}{12}+900= 1200 , where x is the distance.

B.  The flowerbed is 2250 feet far from the hive.

<u><em>Explanation</em></u>

Suppose, the distance of the flowerbed from the hive is x feet.

The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.

As, Time=\frac{Distance}{Speed}

So, the time taken by the bee to reach the flowerbed = \frac{x}{20} seconds and the time taken to fly back to the hive =\frac{x}{12} seconds.

The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.

So, the equation will be.......

\frac{x}{20}+\frac{x}{12}+900= 1200\\ \\ \frac{3x+5x}{60}= 300\\ \\ 8x= 60*300\\ \\ 8x=18000\\ \\ x=\frac{18000}{8}=2250

Thus, the distance of the flowerbed from the hive is 2250 feet.

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3 years ago
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