What is the answer to 2^{|x|+|y|}+2^{|x|-|y|}=2 ?

The answer to 2^{|x|+|y|}+2^{|x|-|y|}=2 is No Solution for x\in\mathbb{R}

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2^{|x|+|y|}+2^{|x|-|y|}=2

2^{∣ x ∣ + ∣ y ∣} + 2^{∣ x ∣ - ∣ y ∣} = 2

No Solution for x \in R

Solution steps

2^{∣ x ∣ + ∣ y ∣} + 2^{∣ x ∣ - ∣ y ∣} = 2

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

No Solution for x \in R

∣ x - 1 ∣ + ∣ x + 1 ∣ = 2

∣ 5 y + 2 ∣ = 0

2 x^{2} - 4 = 8 x - 6

x^{2} - 5 x + 6 = 2 x - 3

\frac{( 4 w - 1 )}{6} = \frac{( 2 w )}{3} + \frac{1}{4}

What is the answer to 2^{|x|+|y|}+2^{|x|-|y|}=2 ?
The answer to 2^{|x|+|y|}+2^{|x|-|y|}=2 is No Solution for x\in\mathbb{R}