To eliminate x multiply the first equation by 32 and the second by 7:
224x+1344y=1024
224x+119y=-42
Subtract the 2nd from the 1st:
1225y=1066, so y=1066/1225.
Now go back to the original equations and substitute for y in either: 7x=32-42*1066/1225=-796/175, making x=-796/1225. CHECK: Substitute for x and y in both equations:
-796/175+6396/175=5600/175=32
-25472/1225+18122/1225=-7350/1225=-6.