Systems of Equations: Solve each system by setting the equations equal to each other and solving.

y=x

y = - x

Since x and - x both equal y they must be equal to each other:

x = - x

+x + x (add x to both sides)

2x=0

x=0

when x=0, y=0

Since ' x ' and '-x ' are both equal to ' y ', they must be equal to each other.

x = - x

Add ' x ' to each side: 2x = 0

Divide each side by 2 : x = 0

whence y = 0.

That's the only possible solution to the system [ y = x and y = - x ].