Question 865015
4x-9y=61
10x+3y=25



Multiply everything in equation two by 3 to get 



4x-9y=61
30x+9y=75



Now add the equations



4x-9y=61
30x+9y=75
---------------
34x+0y=136



This means 



34x = 136



x = 136/34



x = 4



Now use this to find y



4x-9y=61



4(4)-9y=61



16-9y=61



-9y=61-16



-9y=45



y=45/(-9)



y=-5



The solutions are x = 4, y = -5