Question 61847
 5x - 3y = - 20  ---------------(1)
 3x + 2y = 7    -----------------(20

(1) x 2 gives  10x - 6y = - 40

(2) x 3 gives  9x + 6y = 21

Adding the above we get..
19x = - 19
==> 19x/19 = - 19/19
==> x = - 1

Plugging in x =  -1 in (2)...
3(-1) + 2y = 7
==> -3 + 2y = 7
==> 2y = 7 + 3  [adding 3 to both the sides of the equation]

==> 2y = 10
==> 2y/2 = 10/2
==> y = 5

Thus x = -1,   y = 5


Good Luck!!!