Linear Equations in Two Variables · Class 9 · CBSE Mathematics

If the point (3, 4) lies on the graph of the equation 3y = ax + 7, find the value of a.

Practice question from Linear Equations in Two Variables (Class 9 · CBSE Mathematics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-1A8F99

If the point $(3, 4)$ lies on the graph of the equation $3y = ax + 7$ , find the value of $a$ .

A.5/3Correct answer
B.3/5
C.2
D.4/3

Solution

Substitute $x = 3$ and $y = 4$ into the equation $3y = ax + 7$ . We get $3(4) = a(3) + 7$ , which simplifies to $12 = 3a + 7$ , giving $3a = 5$ and hence $a = 5/3$ .

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