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Q.

Solve graphically the simultaneous equations given below.x-y-4=0;x+y=3.


Take the scale as 1cm=1 unit on both the axes.


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a

x=1,y=-1

b

x=3.5,y=-0.5

c

x=3,y=-1

d

x=2.5,y=-0.5 

answer is B.

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Detailed Solution

Given that, x-y-4=0;x+y=3.
Plotting x-y-4=0,
For x=0, we get,
⇒0-y-4=0
⇒-y=4,
⇒y=-4.
For y=0, we get,
⇒x-(0)-4=0,
⇒x-4=0,
⇒x=4.
For y=1, we get,
⇒x-1-4=0,
⇒x-5=0,
⇒x=5.
Join the three points (0,-4), (4,0) and (5,1) by drawing line.
Plotting x+y=3,
For x=0, we get,
⇒(0)+y=3
⇒y=3.
For y=0, we get,
⇒x+0=3
⇒x=3
For y=1, we get,
⇒x+1=3
⇒x=2
Join the three points (0,3), (3,0) and (2,1) by drawing line.
Question ImageThe point of intersection of both lines is (3.5,-0.5).
The solution of the equation is the point of intersection of the two lines.
Thus, the solution is x=3.5 and y=-0.5.
Therefore, option (2) is correct.
 
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