If 2(x+y)
= 16 and 4(x-y)=1/32
, find the values of x and y.
A.
x = 3/4, y = 11/4
B.
x = 3/4, y = 13/4
C.
x = 2/3, y = 4/5
D.
x = 2/3, y = 13/4
Correct Answer: x = 3/4, y = 13/4
Explanation
2(x+y)
= 16 ; 4(x-y) = 1/32.
⟹2(x+y)=24
x + y = 4...(1)
2(2(x−y)) = 2(−5)
2(2(x−2y)) = (−5)
⟹2x − 2y = −5...(2)
Solving the equations (1) and (2) simultaneously, we have
x = 3/4 and y = 13/4
2(x+y)
= 16 ; 4(x-y) = 1/32.
⟹2(x+y)=24
x + y = 4...(1)
2(2(x−y)) = 2(−5)
2(2(x−2y)) = (−5)
⟹2x − 2y = −5...(2)
Solving the equations (1) and (2) simultaneously, we have
x = 3/4 and y = 13/4