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Question

If the point (5,4) lies on the graph of the equation 7y = ax + 8, find the value of a.

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Solution

If the point (5, 4) lies on the line 7y = ax + 8, it must satisfy the equation.
Therefore, 7 x 4 = a x 5 +8,
Or, 28 - 8 = 5a
Or, 5a = 20
Or, a = 4

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