Answer:
x=131/21
y=-23/21
Step-by-step explanation:
Given:
5x+2y=29
8x-y=51
Eliminate y variable and solve for x:
5x+2y=29
+ 16x-2y=102
_________
21x=131
x=131/21
Plug x into either original equation and solve for y:
5x+2y=29
5(131/21)+2y=29
655/21+2y=29
655/21+2y=609/21
2y=-46/21
y=-46/42
y=-23/21