Question 110293: solve the system by graphing
x+y=4
-x+y=2
Answer by praseenakos@yahoo.com(507)   (Show Source):
You can put this solution on YOUR website! Question:
solve the system by graphing
x+y=4
-x+y=2
Answer:
To graph the system of equation manually, first you have to rewrite the given equation as a function of 'x' only, as follows,
y = 4 - x and
y = 2 + x (That is shifting all the terms other than y to the other side)
Now consider the first equation, y = 4 - x
Now give few values for x and find out the corresponding values of y
that is,
when x = 0, y = 4-0 = 4
when x = 1, y = 4-1 = 3
when x = -1, y = 4-(-1) = 5
when x = 2, y = 4-2 = 2
when x = -2, y = 4-(-2) = 6
when x = 3, y = 4-3 = 1
when x = -3, y = 4-(-3) = 7
and so on.........
Thus you have points,
(0,4), (1,3), (-1,5), (2,3), (-2,6), (3,1), (-3,7) etc.
Now plot these points on the graph paper, then you will get a straight line.
Similarly take the second equation and follow the same procedure and get the straight line.
Then the graph will come like this...
From the graph you can see that, both the lines will intersect at a point.
Draw perpendiculars to both x and y axes.
Then then these perpendiculars will touch x= 1 on the x axis and y - 3 on the y axis, which is the required solution of the given equations.
that is , x = 1 and y = 3
Hope you found the explanation useful.
Regards.
Praseena.
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