Question

If 3x +5y = 11 and 5x + 3y = 13, then the value of ( x + y) without actually solving the above system of equations is -3 3 24 0

Answer 1

Answer:

3

Solution:

Here,

The given equations are :

3x + 5y = 11 ------(1)

5x + 3y = 13 -------(2)

We need to find the value of (x + y) without actually solving the given system of equations.

Thus,

Adding eq-(1) and (2) , we get ;

=> 3x + 5y + 5x + 3y = 11 + 13

=> 8x + 8y = 24

=> 8(x + y) = 24

=> x + y = 24/8

=> x + y = 3

Hence,

The required answer is 3 .