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3 years ago

Solve system using linear combination. 5x + 3y = 41 and 3x - 6y = 9 show all work.

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

7 0

Answer:

(7,2)

Step-by-step explanation:

5x + 3y = 41

3x - 6y = 9

Multiply the first equation by 2

2(5x + 3y) = 41 *2

10x +6y = 82

Add this to the second equation

10x +6y = 82

3x - 6y = 9

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

13x = 91

Divide by 13

13x/13 = 91/13

x=7

Now we can find y

5x+3y = 41

5(7) +3y =51

35+3y=41

Subtract 35 from each side

35-35+3y=41-35

3y = 6

Divide by 3

3y/3 = 6/3

y=2

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Step-by-step explanation:

Let t represent time taken to fill the tank.

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