#### Question

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

#### Solution

Given that the point A(3, 2) lies on the graph of the equation 5x + ay = 19.

Thus, the point satisfies the equation of the graph.

Substituting the values x = 3 and y = 2, we have,

5 × 3 + a × 2 = 19

15 + 2a = 19

2a = 19 - 15

2a =4

a=4/2

a=2

Therefore the value of a is 2.

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#### APPEARS IN

Solution If the Point A(3, 2) Lies on the Graph of the Equation 5x +ay = 19, Then Find A. Concept: Algebraic Methods of Solving a Pair of Linear Equations - Substitution Method.