Question 6744
2a + 3b= 19
5a - 2b= 0

4a+6b=38 (double first equation)
15a-6b=0  (triple second equation)
 to cancel out the b add the equations togther. 
this gives 19a = 38. divide both sides by 19. a=2. 
then substitute 2 into the equation for a and use the same method to solve b.