5x - Зу = 1
2x + 5y = 19
Answers
Answer :
x = 2 , y = 3
Solution :
Here ,
The given system of linear equations is ;
5x - 3y = 1 -------(1)
2x + 5y = 19 --------(2)
Now ,
Multiplying eq-(1) by 5 , we get ;
=> 5•(5x - 3y) = 5•1
=> 25x - 15y = 5 -----(3)
Now ,
Multiplying eq-(2) by 3 , we get ;
=> 3•(2x + 5y) = 3•19
=> 6x + 15y = 57 ----------(4)
Now ,
Adding eq-(3) and (4) , we get ;
=> 25x - 15y + 6x + 15y = 5 + 57
=> 31x = 62
=> x = 62/31
=> x = 2
Now ,
Putting x = 2 in eq-(1) , we get ;
=> 5x - 3y = 1
=> 5•2 - 3y = 1
=> 10 - 3y = 1
=> -3y = 1 - 10
=> -3y = -9
=> y = -9/-3
=> y = 3
Hence ,
x = 2 , y = 3
5x -3y =1
5x=1 +3y
x =1+3y/5.................(1)
putting the value of x in equation (2) or
2x + 5y =19
=2*1+3y/5 +5y=19
=2+6y/5+5y =19
=2+6y+25y
---------------- =19
5
=2+31y
-----------= 19
5
=2+31y=95
=31y=95-2
=y =93/31
y =3
x = 2x +5*3=19
=2x +15 =19
2x =19 -15
x =4 /2
x =2
hence x=2
y=3