Question

5x - Зу = 1
2x + 5y = 19​

Answer 1

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

Answer 2

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