Draw the graphs of the equations x + y = 6 and 2x + 3y = 16 on the same graph paper. Find the coordinates of the points where the two lines intersect

The given equation is,     x + y = 6 y = 6 - x  ...........1
 
x 0 2 6
y 6 4 0

and 2x + 3y = 16

 3y = 16 - 2x y = 16 - 2x3  ...........2
 
x 2 5 8
y 4 2 0

GRAPH:



So, from the graph we see that the two lines intersect at (2, 4).

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