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k0ka [10]
3 years ago
11

Question 18 Solve simultaneously x + y = 6 6x - 5y = 14 ​

Mathematics
2 answers:
Katen [24]3 years ago
8 0

Answer:

  • (4, 2)

Step-by-step explanation:

<u>Given system:</u>

  • x + y = 6
  • 6x - 5y = 14 ​

<u>Solve by elimination, multiply the first equation by 5 and add up equations:</u>

  • 5x + 5y + 6x - 5y = 5*6 + 14
  • 11x = 44
  • x = 4

<u>Find y:</u>

  • 4 + y = 6
  • y = 6 - 4
  • y = 2
VashaNatasha [74]3 years ago
3 0

Answer:

x = 4

y = 2

Step-by-step explanation:

Rewrite  x + y = 6  to make y the subject:  

⇒ y = 6 - x

Substitute y = 6 - x   into  6x - 5y = 14  and solve for x:

⇒ 6x - 5(6 - x) = 14

⇒ 6x - 30 + 5x = 14

⇒ 11x - 30 = 14

⇒ 11x = 44

⇒ x = 4

Substitute  x = 4  into  x + y = 6  and solve for y:

⇒ 4 + y = 6

⇒ y = 2

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Answer:

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Step-by-step explanation:

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4 years ago
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kipiarov [429]

Answer:

A

Step-by-step explanation:

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7 0
3 years ago
Taryn mows 9 lawns for 7.5 hours and gets paid 112.50. How much does he get paid for mowing 1 lawn
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3 years ago
A metal rod will be cut into pieces that are each 1/20 meters long. The rod is 4/5 meters long. How many pieces will be made fro
kirill115 [55]
There will be 16 pieces made from the rod

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Reciprocate 1/20
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Hope this helps!
7 0
3 years ago
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