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


Solution

Let x be the abscissa of the required point on the line 2x + 5y = 19.
then by given condition,
Ordinate, y=112×x
y=32x
On putting y=32x in given equation, we get,
2x+5(32)x=194x+15x=19×24x+15x=3819x=38x=3819x=2
On Substituting the value of x,
y=32×2=3
y=3
Hence, the required point is (2, 3).

Mathematics

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