Question

If x * y = (2x - y) / (x + y), solve the equation : x * 3 = 1

Answer 1

Answer:

Solution

Given equations,

∣x−1∣+y=0

2x−y=1

⇒ 2x+∣x−1∣=1(∵y=−∣x−1∣)

If x≥1,

2x+(x−1)=1

x=

3

2

But x>1

x



=

3

2

If x<1

2x+1−x=1

x=0

y=−1(∵y=−∣x−1∣)

x=0,y=−1 is possible solution of given equations.