Since 2-x = -(x-2), you have y = -y
So, y=0
so 2-x = 0, and x=2
That is the only solution. You have two lines with different slopes, so the must intersect in exactly one point.
Solve each of the following systems, if possible. Indicate whether the system has a unique solution, infinitely many solutions, or no solution. I can either use substitution or elimination in this problem.
y=2-x
y=x-2
I did it already by using the substitution method and got an answer as (2,0). I just need to know if the system has a unique solution (I chose the unique solution option but I'm not sure if I'm right), infinitely many solutions, or no solution? I want to check with you guys if I'm doing this right! I started the problem like this x-2=2-x by substituting y=x-2. Please answer and don't ignore! :(
1 answer