The sum of the values x, y that satisfy the equations (x + y)2y-x = 1, (x + y) x-y = 2

Question

Pls solve this

Answer 1

(x + y)²(y - x) = 1

(x + y)²(x - y) = -1          multiply both sides by -1

 

(x + y)(x + y)(x - y) = -1  expand

(x + y)(2) = -1                 substitution

(x + y) = -1/2                  divide both sides by 2

 

x - y = 2

x + y = -1/2

 

2x = 1.5

x = 0.75

 

What is the value of y?