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The solution to the equation $x - 3 y = 8$ is:

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$(0, 8)$

$(8, 0)$

$(1, 8)$

$(8, 1)$

answer is B.

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Detailed Solution

Given: $x - 3 y = 8$

The points which satisfy an equation are the solution of the equation.

Putting (0,8) in the equation, we get,

$0 - 3 \times 8 = 8$

$- 24 \neq 8$

∵ LHS $\neq$ RHS

Thus, (0,8) is not the solution of the given equation.

Now putting (8,0) in the equation, we get,

$8 - 3 \times 0 = 8$

$8 = 8$

∵ LHS = RHS

Thus, the solution of the equation is (8,0).

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