# Which ordered pair is the solution to the system of equations #y=x# and #y=x^2-2#?

##### 1 Answer

Aug 24, 2016

#### Explanation:

If the first equation is satisfied then we can replace

#x = x^2-2#

Subtract

#0 = x^2-x-2 = (x-2)(x+1)#

Hence solutions

To make each of these into ordered pair soltuions of the original system, use the first equation again to note that

So the ordered pair solutions to the original system are:

#(2, 2) " "# and#" " (-1, -1)#