Determine the point on the graph of the linear equation 2x + 5y = 19 whose ordinate is
times its abscissa.
Given: 2x + 5y = 19…………(i)
ordinate is
times its abscissa
⇒ y =
x =
x
Putting y =
x in eq. (i)
We have
2x + 5
x = 19
.
Putting x = 2 in eq. (i)
We have
2x2 + 5y = 19
y =
= 3.
Therefore point (2, 3) is the required solution.