Math, asked by vilaspatilvp06, 1 month ago

x+2y=1 व (a-b)x+(a+b)y=a+b-2 या एकसामयिक समीकरणांची अनंत उकली येण्यासाठी a व b च्या किमती शोधा?

Answers

Answered by amitnrw
1

Given :   x+2y=1 व (a-b)x+(a+b)y=a+b-2 या एकसामयिक समीकरणांची अनंत उकली येण्यासाठी

the infinite solution of the simultaneous equations

x + 2y = 1 and (a-b) x + (a + b) y = a + b-2

To Find : values of a and b

a व b च्या किमत

Solution:

a₁x  +  b₁y + c₁ = 0

a₂x + b₂y + c₂ = 0

infinite solution  

a₁/a₂ = b₁/b₂ = c₁/c₂    

(a-b) x + (a + b) y = a + b-2

 x + 2y = 1

infinite solution

=> (a - b)/1  = (a + b)/2  = (a + b - 2)/1

(a - b)/1  = (a + b - 2)/1

=> a - b = a + b - 2

=> 2b = 2

=> b = 1

(a - b)/1  = (a + b)/2

=> 2a - 2b = a + b

=> a = 3b

=> a = 3(1)

=> a = 3

a = 3  and b = 1

x+2y=1

2x + 4y =  2    => 2(x + 2y ) = 2(1)

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Answered by kusumpatil942
0

Step-by-step explanation:

Given :   x+2y=1 व (a-b)x+(a+b)y=a+b-2 या एकसामयिक समीकरणांची अनंत उकली येण्यासाठी

the infinite solution of the simultaneous equations

x + 2y = 1 and (a-b) x + (a + b) y = a + b-2

To Find : values of a and b

a व b च्या किमत

Solution:

a₁x  +  b₁y + c₁ = 0

a₂x + b₂y + c₂ = 0

infinite solution  

a₁/a₂ = b₁/b₂ = c₁/c₂    

(a-b) x + (a + b) y = a + b-2

 x + 2y = 1

infinite solution

=> (a - b)/1  = (a + b)/2  = (a + b - 2)/1

(a - b)/1  = (a + b - 2)/1

=> a - b = a + b - 2

=> 2b = 2

=> b = 1

(a - b)/1  = (a + b)/2

=> 2a - 2b = a + b

=> a = 3b

=> a = 3(1)

=> a = 3

a = 3  and b = 1

x+2y=1

2x + 4y =  2    => 2(x + 2y ) = 2(1)

Learn  More:

A pair of linear equations 111 2 2 2 ax by c ax by c + += + += 0, 0 is ...

brainly.in/question/18461075

The lines representing the pair of equations 5x – 4y + 8 =0 and 7x + ...

brainly.in/question/17735745

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