Math, asked by saba659, 1 year ago

x - 2y = 1
3x + 2y = 19

Answers

Answered by harihar1
0
Mark Brainliest answer please
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Answered by Ankit1408
0
Hello users .....

Given equations are :
x - 2y = 1 ......(1.)
3x + 2y = 19 ....(2.)

Solution:-
Method 1st

in equation (1.)
x - 2y = 1 
=> 2y = x - 1    ......(3.)

in equation (2.)
3x + 2y = 19 
=> 2y = 19 - 3x  ....(4.)

Comparing (3.) and (4.).....

=> (x - 1 ) = ( 19 - 3x )

=> x + 3x = 19 + 1 

=> 4x = 20 

=> x = 20/4 = 5 

Putting x in equation (1.) 
we get 
x - 2y = 1 

=> 5 - 2y = 1 

=> -2y = 1 - 5

=> -2y = - 4

=>  2y = 4 

=> y = 4/2 = 2

Method 2nd 

Adding equations (1.) and (2.)
We get,
     x  -  2y  =   1 
+ 3x  +2y   = 19 
-----------------------
   4x  +  0   = 20
-----------------------

=> 4x = 20 

=> x = 20 / 4 = 5

putting value of x in equation (1.)
We get 
5 - 2y = 1
=> -2y = 1 - 5

=> -2y = - 4

=>  2y = 4 

=> y = 4/2 = 2 


Hence,
x= 5 and y = 2 Answer 

# hope it helps  
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