Question

If 2^2x+y = 4^x-y-3 = 1, then
1, then (x, y)
is:​

Answer 1

Answer:

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11th

>Applied Mathematics

>Logarithm and Antilogarithm

>Indices

>If 2^2x + y = 4^x - y - 3 =...

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If 2

2x+y

=4

x−y−3

=1, then (x,y) is

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Answer

Given 2

2x+y

=4

x−y−3

=1

⟹2

2x+y

=2

2(x−y−3)

=1

⟹2

2x+y

=2

2x−2y−6

=2

0

Comparing the powers of 2 on both sides

⟹2x+y=2x−2y−6=0

⟹y=−2y−6⟹3y=−6⟹y=−2

2x+y=0⟹2x−2=0⟹x=1

So (x,y)=(1,−2)

Step-by-step explanation:

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