Question

|x+2|+y=5 and x-|y|=1 then find value of x+y​

Answer 1

Answer:

x+y=1 or either x+y=12.5

Answer 2

Value of x+y is 3

Step-by-step explanation:

Given:

We have |x+2|+y=5 and x-|y|=1

Here, x-|y|=1 ⇒ |y|=x-1

since |y| is always positive

x-1 will always be a positive number

That means x is always greater than equal to 1

So now the equations become,

x+2+y=5           [1]

x-y=1                 [2]

Adding equation 1 and 2, we get

x+2+y+x-y=5+1

2x=6-2

$x=\frac{4}{2}$

x=2

Putting x=2 in equation 2

x-y=1    

2-y=1

y=1

Now, x+y ​= 2+1 = 3

Hence value of x+y is 3