For week 12, of precalc 11 class we learned the final lesson on unit 5, (5.5). and spent the rest of the week reviewing.

One thing I learned from lesson 5.5 (solving systems algebraically), was how to combine two equations, one being quadratic, and the other being linear into one equation, to then find the roots (x), and replace it into the original equation to find Y’s.

For example :

y = 2x + 3 and

y = X^{2 }+ 4x +3

simply take the first equation and replace it with the y in the second :

2x + 3 = X^{2 }+ 4x +3

then all you do is solve for x

and replace the two roots you get into either equation to get y.