Question 257560
The given equations are,
                 5x+5y=7 . ..(1)
and              7x-3y=13 ...(2)
(1)*3 =>         15x+15y = 21   ...(3)
(2)*5 =>         35x-15y = 65   ...(4)
(3)+(4) =>       50x = 86
                 x = 86/50
                 x = 43/25
(1) =>           5*(43/25)+5y = 7
                 43/5+5y = 7
                 5y = 7-43/5
                 5y = (35-43)/5
                  y = -8/25
                       
Therefore the solution is,
                 x = 43/25  and y = -8/25