Determine the point on the graph of the linear equation 2x + 5y = 19 whose ordinate is 112 times its abscissa.
Let x be the abscissa of the required point on the line 2x + 5y = 19.
then by given condition,
On putting y=32x in given equation, we get,
On Substituting the value of x,
Hence, the required point is (2, 3).