To graph the given system of equation, first find x and y-intercept of each equation. x-y=6 When y=0 x=6 Point is (6,0) When x=0 -y=6 y=-6 Point is (0,-6)
Now x-intercept and y-intercept for equation 2. x+y=4 When x=0 y=4 Point is (0,4) When y=0 x=4 Point is (4,0)
Now plot these points on the graph, the lines intersect each other at point (5,-1), which is the solution of the given system.