tentukan himpunan penyelesaian dari A. y=x-2 y=x^2-6x+8 B. x+ 2y=5 x^2-xy+y^2=3 bantuin ya

A.
[tex]y=x-2 \\ y=x^2-6x+8 \\ x^2-6x+8=x-2 \\ x^2-7x+6=0 \\ (x-1)(x-6)=0 \\ x_1=1 \\ y_1=x_1-2=1-2=-1 \\ x_2=6 \\ y_2=x_2-2 =6-2=4 \\ HP=\{(x,y)|(1,-1)(6,4)\}[/tex]

B.
[tex]x+2y=5 \to x=5-2y \\ \\ x^2-xy+y^2=3 \\ (5-2y)^2-(5-2y)y+y^2=3 \\ 25-20y+4y^2-5y+2y^2+y^2=3 \\ 7y^2-25y+22=0 \\ (y-2)(7y-11)=0 \\ y_1=2 \\ x_1=5-2y_1=5-2(2)=5-4=1 \\ y_2=\frac{11}{7} \\ x_2=5-2y_2=5-2(\frac{11}{7})=5-\frac{22}{7}=\frac{13}{7} \\ \\ HP=\{(x,y)|(\frac{11}{7},\frac{13}{7}),(2,1)\}[/tex]