Que15)If the point (3, 4) lies on the graph of the equation 3y = ax + 7, find the value of a.
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If the point (3, 4) lies on the graph of 3y=ax+7, then find the value of a. Solution : Since, the point (x=3, y=4) lies on the equation 3y=ax+7, then the equation will be satisfied by the point . Hence, the value of a is 5/3.
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The given equation is → 3y = ax+7
According to the question, x = 3, y = 4
Now,Substituting the values of x and y in the equation 3y = ax+7,we get,
(3×4) = (a×3)
⇒ 12=3a + 7
⇒ 3a + 7 = 12
⇒ 3a = 12 - 7
⇒ 3a = 5
⇒ a =
The value of a, if the point (3,4) lies on the graph of the equation 3y=ax+7 is 5/3.
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