Question

If 2x+y = 22x-y = V8. Find x,y

Answer 1

Answer:

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i ) 2^2x-y = 16

2^2x - y = 2⁴

2x - y = 4 ---( 1 )

ii ) 2^2x + y = 32

2^2x + y = 2^5

2x + y = 5 ----( 2 )

add equations ( 1 ) and ( 2 ) , we get

4x = 9

x = 9/4

x = 9/4

substitute x = 9/4 in equation ( 2 ) , we get

2× 9/4 + y = 5

9/2+ y = 5

y = 5 - 9/2

y = ( 10 - 9 )/2

y = 1/2

Therefore ,

x = 9/4 , y = 1/2

x × y = 9/4 × 1/2

= 9 /8

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Step-by-step explanation: