Question 43393
First name the equations (1) & (2).


9x - 7y = 41 ________(1)
 x - 5y = 13 ________(2)


First multiply both sides of equation (2) by 9. You get
 {{{9(x - 5y) = 9*13}}}
or  {{{9x - 45y = 117}}}
Now, subtract both sides of equation (1) from the respective sides of this equation. You get
{{{(9x - 45y) - (9x - 7y) = 117 - 41}}}
or {{{9x - 45y - 9x + 7y = 76}}}
or {{{- 38y = 76}}} 
or {{{- 38y/38 = 76/38}}}
or {{{- y = 2}}}
or {{{y = -2}}}


Put this value of 'y' in (2). You get
{{{x - 5(-2) = 13}}}
or {{{x + 10 = 13}}}
or {{{x = 13 - 10 = 3}}}


Hence, the reqd. solution is x = 3, y = -2.