Question

Solve the following simultaneous equations. 101x + 99y = 501, 99x + 101y = 499

Answer 1

hope it will be helpful to you

Answer 2

Answer:

The value of x = 3

The value of y = 2

Step-by-step explanation:

101 x + 99 y = 501 ======> 1

99 x +101 y = 499 ====== > 2

By adding 1 and 2,

 200 x + 200 y = 1000

Divided by 200 ==> x + y = 5 ------> 3

By subtracting 1 and 2,

2 x - 2 y = 2

Divided by 2 ===> x - y = 1 ---------> 4

By elimination method,

3 => x + y = 5

4 => x - y = 1

______________

        2 x = 6

           x = 6/2

           x = 3

Substitute x = 3 in  (3)

3 => x + y = 5

       3 + y = 5

             y = 5 - 3

             y = 2

So, the solution set is {3,2}