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=19⇒4x+15x=19×2⇒4x+15x=38⇒19x=38⇒x=3819∴x=2
On Substituting the value of x,
y=32×2=3
⇒y=3
Hence, the required point is (2, 3).