Math, asked by Anonymous, 6 months ago

x+2y = 4
2x+5y = 10

Solve krdo koi please ​

Answers

Answered by EthicalElite
147

Given :

⠀⠀ ⠀

  • x + 2y = 4
  • 2x + 5y = 10

⠀⠀ ⠀

To Find :

⠀⠀ ⠀

  • Value of x and y = ?

⠀⠀ ⠀

Solution :

⠀⠀ ⠀

The given pair of equations are :

  • x + 2y = 4 - (i)
  • 2x + 5y = 10 - (ii)

⠀⠀ ⠀

To find value of x and y, let's solve it by using Substitution Method :

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

From equation (i), we get :

 \sf : \implies x + 2y = 4

 \sf : \implies x = 4 - 2y

⠀ ⠀⠀ ⠀

Now, by substituting x = 4 - 2y in equation (ii), we get :

 \sf : \implies 2(4 - 2y) + 5y = 10

 \sf : \implies 8 - 4y + 5y = 10

 \sf : \implies 8 + y = 10

 \sf : \implies y = 10 - 8

 \sf : \implies y = 2

 \Large \underline{\boxed{\bf{y = 2}}}

⠀⠀ ⠀

Now, by substituting y = 2 in equation (i), we get :

 \sf : \implies x + 2(2) = 4

 \sf : \implies x + 4 = 4

 \sf : \implies x = 4 - 4

 \sf : \implies x = 0

 \Large \underline{\boxed{\bf{x = 0}}}

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

Hence, value of :

  • x = 0
  • y = 2
Answered by BlossomingBud123
5

Answer:

Solution :

⠀⠀ ⠀

The given pair of equations are :

x + 2y = 4 - (i)

2x + 5y = 10 - (ii)

⠀⠀ ⠀

To find value of x and y, let's solve it by using Substitution Method :

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

From equation (i), we get :

⟶ x + 2y = 4

⟶ x = 4 - 2y

Now, by substituting x = 4 - 2y in equation (ii), we get :

⟶ 2 ( 4 − 2y ) + 5y = 10

⟶ 8 − 4y + 5y = 10

⟶ 8 + y = 10

⟶ y = 10 − 8

⟶ y = 2

∴ y = 2

Now, by substituting y = 2 in equation (i), we get :

⟶ x + 2 (2) = 4

⟶ x + 4 = 4

⟶ x = 4 - 4

⟶ x = 0

∴ x = 0

Hence, value of :

  • x = 0
  • y = 2

Hope it can help you and please mark me as a brainlist!

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