Question 90783
Question:


Solve the system by graphing.
	x + y = 3
	x + y = –1         



Answer:




If you are doing it in a graph paper,  what you have to do is,

Rewrite the given equations in terms of x as follows.

 x + y = 3


==> y = 3-x ---------(1)


x + y = –1

==> y = -1-x ---------(2)



Now put some arbitrary values for x in the (1) and (2) and find out the corresponding y values.


For(1),  when x = 0, y = 3-0 = 3


when x = 1, y = 3 - 1 = 2

When x = 2, y = 3 - 2 = 1



Now plot this values on  the graph paper.


Similarly find out x and y values for the second equation and plot the graph.



Then the graphs will come like this....



{{{ graph( 600, 600, -10, 10, -10, 10, 3-x , -1-x ) }}}





Here you can see that the lines are parallel...that means they do not have solutions.



Hope you found the explanation useful.



Regards.


Praseena.