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The question asks for a function of 'y', so we'll show 'x' as a function of 'y':
Given: 8x - 9y = 2
Add 9y to each side:
8x = 2 + 9y
Divide each side by 8:
x = 2/8 + 9y/8
or
x = 1/8 (2 + 9y).
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If the questioner actually wants to see it in the more familiar form of [ y = a function of x ],
we can massage the original equation around to show that as well.
Given: 8x - 9y = 2
Subtract 8x from each side:
-9y = 2 - 8x
Multiply each side by -1:
9y = 8x - 2
Divide each side by 9:
y = 8x/9 - 2/9
or
y = 1/9 (8x - 2)
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