Answer:
x=5, y = 9/5
Explanation:
x+5y = 14
3x - 10y = -3
Multiply the first equation by 2
2(x+5y) = 2*14
2x+10y = 28
Add this to the second equation to eliminate y
2x+10y = 28
3x - 10y = -3
----------------------
5x + 0y = 25
Divide by 5
5x/5 = 25/5
x = 5
Now find y
x+5y =14
5+5y = 14
Subtract 5 from each side
5-5+5y = 14-5
5y = 9
Divide by 5
5y/5 = 9/5
y = 9/5