(Solved): show work please 3 & 4 Find the intersection points of the graphs of the give two equations/func ...

Find the intersection points of the graphs of the give two equations/functions graphically. Redo (i) and (ii) by an algebraic method. Round each answer to its nearest 100th if necessary. (i) \( x-y=3, \quad 3 x+y=1 \) (ii) \( y=x^{2}-2 x+8, \quad y=x^{2}+2 x-4 \) (iii) \( f(x)=\sqrt{2 x+5}, \quad g(x)=x^{2}+x-2 \) (iv) \( h(t)=|3 t+1|, \quad k(t)=t^{3}-3 t+2 \)