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Q.

Solve graphically the pair of equations x+3y=6, and 3x-5y=18. Hence, find the value of K if 7x+3y=K.


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a

x=-3,y=1,K=13

b

x=-8,y=5,K=8

c

x=1,y=2,K=29

d

x=6,y=0,K=42 

answer is D.

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Detailed Solution

Given equations are,x+3y=6, and 3x-5y=18.
For equation x+3y=6,
Question ImageFor equation 3x-5y=18,
Question ImagePlotting the points to on graph,
Question ImageFrom the graph the point of intersection is (x,y)=(6,0).
Substituting (x,y)=(6,0) in 7x+3y=K, we get,
7×6+3×0=K
K=42
Therefore, option (4) is correct.
 
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Solve graphically the pair of equations x+3y=6, and 3x-5y=18. Hence, find the value of K if 7x+3y=K.