Question

solve the following equation
5x -3y=14,3x-5y=2​

Answer 1

Answer :

(4 , 2)

Solution :

Here ,

The given pair of linear equations is ;

• 5x - 3y = 14 ------(1)
• 3x - 5y = 2 ------(2)

Now ,

Multiplying eq-(1) by 5 , we get ;

=> 5•(5x - 3y) = 5•14

=> 25x - 15y = 70 ------(3)

Now ,

Multiplying eq-(2) by 3 , we get ;

=> 3•(3x - 5y) = 3•2

=> 9x - 15y = 6 -------(4)

Now ,

Subtracting eq-(4) from (3) , we get ;

=> (25x - 15y) - (9x - 15y) = 70 - 6

=> 25x - 15y - 9x + 15y = 64

=> 16x = 64

=> x = 64/16

=> x = 4

Now ,

Putting x = 4 in eq-(2) , we get ;

=> 3x - 5y = 2

=> 3•4 - 5y = 2

=> 12 - 5y = 2

=> 5y = 12 - 2

=> 5y = 10

=> y = 10/5

=> y = 2

Hence ,

Required solution is : (4 , 2)