To determine a solution for the equation \( 1.5x - 2y = 8 \), we can solve for \( y \) in terms of \( x \):
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Start with the equation: \[ 1.5x - 2y = 8 \]
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Isolate \( y \): \[ -2y = 8 - 1.5x \] \[ y = \frac{1.5x - 8}{2} \]
Now we can test various values of \( x \) to find the corresponding \( y \) values.
For a concrete solution, let's try substitute some example values for \( x \) and calculate \( y \).
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Suppose \( x = 0 \): \[ y = \frac{1.5(0) - 8}{2} = \frac{-8}{2} = -4 \] So one solution is \( (0, -4) \).
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Suppose \( x = 4 \): \[ y = \frac{1.5(4) - 8}{2} = \frac{6 - 8}{2} = \frac{-2}{2} = -1 \] So another solution is \( (4, -1) \).
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Suppose \( x = 8 \): \[ y = \frac{1.5(8) - 8}{2} = \frac{12 - 8}{2} = \frac{4}{2} = 2 \] So another solution is \( (8, 2) \).
You can choose any correct pairs of \( (x, y) \) based on the above calculations, which are valid solutions to the equation \( 1.5x - 2y = 8 \).
If there are specific answer choices provided, please let me know so that I can help you determine which one is correct!