Respuesta :

mhanifa

Answer:

  • (4, 2)

Step-by-step explanation:

Given system:

  • x + y = 6
  • 6x - 5y = 14 ​

Solve by elimination, multiply the first equation by 5 and add up equations:

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

Find y:

  • 4 + y = 6
  • y = 6 - 4
  • y = 2
semsee45

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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