Question 741688
We are asked to solve

(2x)/(3)-(7y)/(2)= -5
(5x)/(3)-(y)/(2)= 4

1) note that 3 * 2 = 6 is our common denominator, so we can rewrite
   (4x/6) - (21y/6) = -5
   multiply both sides of = by 6
   4x - 21y = -30

2) 6 is also the common denominator here, so we rewrite
   (10x/6) - (3y/6) = 4
   multiply both sides of = by 6
   10x - 3y = 24

solve 1) for x and we have x = (-30+21y)/4
substitute for x in 2)

   10*((21y-30)/4) - 3y = 24
   5*((21y-30)/2) - 3y = 24
   (105y - 150)/2 - 3y = 24
    105y - 150 - 6y = 48
              99y = 198

               y = 2
               10x - 3*2 = 24
               10x = 30 and x = 3