Question

Given that x2018y2017 = 1/2 and x2016y2019 = 8, the value of x2 + y3 is

35/4
37/4
31/4
33/4

Answer 1

Answer:

The correct option is D.

Explanation:

x2018y2017 = 1/2

x2016y2019 = 8

Divide the two equations,

x2/y2 = 1/16

x/y = 1/4

y = 4x

So, x2016(4x)2019 = 8

x4035 × 24038 = 23

x = 1/2

y = 2

Hence, x2 + y3 = 1/4 + 8

= 33/4

Answer 2

Answer:

Explanation:

20182017=12…..(1)

and 20162019=8…..(2)

Dividing (1) by (2), 22=116

=14 i.e. =±14

(±14)20182017=12

4035=24035

=2

Therefore, =±14=±12

Hence, 2+3=14+8=334