Question

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

y=x
y= -x

Answer 1

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

Answer 2

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 ] .