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Question

Draw the graph of the following linear equations in two variables: x+y=4


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Solution

Drawing graph of the linear equation:

To draw the graphx+y=4, we have to find the values which x and ycan have, satisfying the equation.

We can check that when, x=0,y=4,

When,

x=0,x+y=40+y=4y=4

When,

x=4,x+y=44+y=4y=4-4y=0

(0,4),(4,0) are solutions of the given equation. So, we can use the following table to draw the graph:

xy
04
40

Hence, the points to be plotted are (0,4)&(4,0).


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