passpadi

2019

Mathematics

JAMB

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
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