Answer:
x = 2/3
y = 1/5
Explanation:
1/2 x -3/4y = 11/60 equation 1
2/5x+1/6y=3/10 equation 2
multiply equation 1 by 60
60(1/2x -3/4y = 11/60)
30x - 45y = 11 equation 3
multiply equation 2 by 30
30(2/5x+1/6y=3/10)
12x + 5y = 9 equation 4
multiply equation 4 by 9
9(12x + 5y = 9)
108x + 45 = 81 equation 5
add equation 3 and equation 5
30x - 45y = 11
108x + 45 = 81
___________
138x = 92
x = 2/3
Substitute x = 2/3 to any of the equations to find the value of y. i choose equation 4
12x + 5y = 9
12(2/3) + 5y = 9
8 + 5y = 9
5y = 1
y = 1/5