[tex]y = -2x+3 ~~~....(i)\\\\y = -x -1~~~.....(ii)\\\\\text{Substitute equation (i) in equation (ii):}\\\\\\-2x +3 = -x -1\\\\\implies -2x +x = -1 -3\\\\\implies -x = -4\\\\\implies x = 4\\\\\text{Substitute x =4 in equation (ii):}\\\\y = -4 -1 =-5 \\\\\text{Hence}~ (x,y) = (4,-5)\\\\\text{The two lines will intersect at point (4,-5) in the graph.}[/tex]
