If the point (3,2) lies on the graph of the equation 5x + ay = 19, then find a.

Ans.
The given linear equation is 5x + ay = 19
the point (3,2) lies on the given graph
∴ we can substitute the point x = 3  and y = 2
in given graph,
∴ 5(3) + a(2) = 19
∴ 15 + 2a = 19
∴ 2a = 19 – 15
∴ 2a = 4
∴ a = 4/2
∴ a = 2

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