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

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Solution

Point (3,2) lies on the graph of the equation 5x + ay = 19.
Then point (3,2) will satisfy the equation 5x + ay = 19.

$Now, 5 \times 3 + a \times 2 = 19 \Rightarrow 15 + 2 a = 19 \Rightarrow 2 a = 19 - 15 \Rightarrow 2 a = 4 \Rightarrow a = 2$

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