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Draw the graph for each of the equation x + y = 6 and x – y = 2 on the same graph paper and find the coordinates of the point where the two straight lines intersect.
When $x=0, y=-0+6=6$
When $x=1, y=-1+6=5$
When $x=3, y=-3+6=3$
Thus, the points on the line x + y = 6 are as given in the following table:
Plotting the points (0, (1, (, x + y = 6.
When $x=0, y=0-2=-2$
When $x=2, y=2-2=0$
When $x=-1, y=-1-2=-3$
Thus, the points on the line x – y = 2 are as given in the following table:
Plotting the points (0, (2, (, x – y = 2.
It can be seen that the lines x + y = 6 and x – y = 2 intersect at the point (4, 2).