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.


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