# How do you find the solution of the system of equations #y=-x^2+2x-3# and #y=x-5#?

##### 1 Answer

May 2, 2015

We can substitute

We get

Transposing all the terms on the right to the left, we get

To solve for x, we need to factorise the expression on the left

We can **split the middle term** of this expression to factorise it

This tells us that:

Either