What is the solution of linear equations?

4x+5y=9

-11x-9y=-20

The solution of the given two linear equations

x = 1 and y =1

Step-by-step explanation:

Step(i):-

Given   4 x + 5 y = 9 ..(i)

         - 11 x - 9 y = - 20 ...(ii)

Multiply  11 by (i) and multiply 4 by (ii)

          44 x + 55 y = 99 ...(a)

       - 44 x  - 36 y  = -80...(b)

Adding above equations (a) and (b) , we get

        19 y = 19

             y = 1

Step(ii):-

substitute y =1 in equation (i) , we get

          4 x + 5 y = 9

            4 x + 5 = 9

           4 x = 4

              x =1

Final -

The solution of the given two linear equations are

x = 1 and y =1