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

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#### Solution

5x + ay = 19

(x, y) = (3, 2)

The point (x, y) lies on the graph of the equation; hence it satisfies the equation.

Substitute x = 3 and y = 2 in the given equation,

We get

5(3) + a(2) = 19

⇒ 15 + 2a = 19

⇒2a = 19 - 15

⇒ 2a = 4

⇒ a= 4/2 = 2

Therefore the value of a is 2.

Concept: Algebraic Methods of Solving a Pair of Linear Equations - Substitution Method

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