If the point A(3, 2) lies on the graph of the equation 5x + ay = 19, then find a.
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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.
Concept: Algebraic Methods of Solving a Pair of Linear Equations - Substitution Method
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