Answer:
x = 5/4
y = 15/16
Explanation:
y = 3/4x
5/2 x + 2y = 5
Substitute the first equation into the second equation
5/2x + 2(3/4x) = 5
5/2x + 3/2x = 5
Combine like terms
8/2x = 5
4x = 5
Divide by 4
4x/4 = 5/4
x = 5/4
Now find y
y = 3/4 x = 3/4 ( 5/4) = 15/16