Answer :
[tex]y=-x^2+2x+4[/tex]
[tex]x+y=4[/tex]
[tex]y=4-x[/tex]
[tex]4-x=-x^2+2x+4[/tex]
[tex]x^2-3x=0[/tex]
[tex]x(x-3)=0[/tex]
x=0 or x =3
for x = 0 y = 4
for x = 3 y = 1
[tex]x+y=4[/tex]
[tex]y=4-x[/tex]
[tex]4-x=-x^2+2x+4[/tex]
[tex]x^2-3x=0[/tex]
[tex]x(x-3)=0[/tex]
x=0 or x =3
for x = 0 y = 4
for x = 3 y = 1
