Question

y=4-2x, y=2x^2-3x+1

Answer 1

then 4-2x=2x^2-3x+1
hence
2x^2-3x+1-4+2x=0
2x^2-x-3=0
solve using formula for quadratic equation(google it if you don't know it)
x1,2= -1;3/2
hence y1,2=6;1
so you have two solutions
x=-1;y=6 and
x=3/2;y=1