x+(x-y)+y+(y-x) equals
Answers
Answer:
x+(x-y)+y+(y-x)=x+x-y+y+y-x
=x+y
Answer:
=y
Step-by-step explanation:
Simplifying
x(x + -1y) + y(y + -1x) = 0
(x * x + -1y * x) + y(y + -1x) = 0
Reorder the terms:
(-1xy + x2) + y(y + -1x) = 0
(-1xy + x2) + y(y + -1x) = 0
Reorder the terms:
-1xy + x2 + y(-1x + y) = 0
-1xy + x2 + (-1x * y + y * y) = 0
-1xy + x2 + (-1xy + y2) = 0
Reorder the terms:
-1xy + -1xy + x2 + y2 = 0
Combine like terms: -1xy + -1xy = -2xy
-2xy + x2 + y2 = 0
Solving
-2xy + x2 + y2 = 0
Solving for variable 'x'.
Factor a trinomial.
(x + -1y)(x + -1y) = 0
Subproblem 1
Set the factor '(x + -1y)' equal to zero and attempt to solve:
Simplifying
x + -1y = 0
Solving
x + -1y = 0
Move all terms containing x to the left, all other terms to the right.
Add 'y' to each side of the equation.
x + -1y + y = 0 + y
Combine like terms: -1y + y = 0
x + 0 = 0 + y
x = 0 + y
Remove the zero:
x = y
Simplifying
x = y
Subproblem 2
Set the factor '(x + -1y)' equal to zero and attempt to solve:
Simplifying
x + -1y = 0
Solving
x + -1y = 0
Move all terms containing x to the left, all other terms to the right.
Add 'y' to each side of the equation.
x + -1y + y = 0 + y
Combine like terms: -1y + y = 0
x + 0 = 0 + y
x = 0 + y
Remove the zero:
x = y
Simplifying
x = y
Solution
x = {y, y}