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Q.

Determine the point on the graph of the linear equation 2x+5y=19, whose ordinate is 112 times its abscissa.


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a

-2,3

b

2,-3

c

2,3

d

-2,-3 

answer is C.

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Detailed Solution

Given the equation is, 2x+5y=19. Also, as it is given that, ordinate is 112 times its abscissa.
Therefore, y=32x
Therefore, putting the above equation y=32x in the equation 2x+5y=19, we get,2x+152x=19 
19x=38
x=2
Thus, putting the value of x in the equation  y=32x, we get,
y=3.
Thus, the point is 2,3.
Therefore, option 3) is correct.
 
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