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If (2, 3) is a point on locus whose equation is ax + 2y = 16 and also show that (0, 8) is another point on the locus.​

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If (2, 3) is a point on the locus whose equation is ax + 2y = 16, then we can substitute x = 2 and y = 3 into the equation to get:

a(2) + 2(3) = 16

2a + 6 = 16

2a = 10

a = 5

Therefore, the equation of the locus is 5x + 2y = 16.

To show that (0, 8) is another point on the locus, we can substitute x = 0 and y = 8 into the equation:

5(0) + 2(8) = 16

16 = 16

Since the equation is satisfied when x = 0 and y = 8, we can conclude that (0, 8) is another point on the locus.
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