Find the value of a if the point (3,4) lies on the graph of the equation 3y=ax+7
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The value of a is 5/3.
Step-by-step explanation:
The equation of the line is:
3y = ax + 7
The point (3, 4) lies on the line.
If the a point lies on a line then it also satisfies it.
Substitute x = 3 and y = 4 in the line and solve for a as follows:
3y = ax + 7
(3 × 4) = (a × 3) + 7
12 = 3a + 7
3a = 12 - 7
3a = 5
a = 5/3
Thus, the value of a is 5/3.
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