We have one of those equations already solved for y, so let's sub that one into the other one and solve the equation in terms of x only:
![2x+( x^(2) -4x+3)=6](https://img.qammunity.org/2019/formulas/mathematics/high-school/w1k8p7w4rvmnf71l357gvg7vy6vpwwakzk.png)
. We will simplify that and at the same time bring the 6 over by subtraction to get a polynomial set to equal 0 that we can factor.
![x^(2) -2x-3=0](https://img.qammunity.org/2019/formulas/mathematics/high-school/sa1qqa78ji0ls1yefwwmt8gmxdf2ozlf1k.png)
. We will factor that to get (x-3)(x+1) for x values of x = 3 and x = -1. a above is the choice that has the x values we need, -1 and 3.