To determine a solution for the equation \( 1.5x - 2y = 8 \), we can express one variable in terms of the other or pick a value for one variable and solve for the other.
Let's solve for \( y \) in terms of \( x \):
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Start with the original equation:
\[ 1.5x - 2y = 8 \]
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Rearrange the equation to isolate \( y \):
\[ -2y = 8 - 1.5x \]
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Divide both sides by \(-2\):
\[ y = \frac{1.5x - 8}{2} \]
This gives us the equation for \( y \) in terms of \( x \). Now we can pick a value for \( x \) to find a corresponding \( y \).
Let's choose \( x = 4 \):
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Substitute \( x = 4 \) into the equation:
\[ y = \frac{1.5(4) - 8}{2} \]
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Calculate:
\[ y = \frac{6 - 8}{2} = \frac{-2}{2} = -1 \]
Thus, one possible solution for the equation \( 1.5x - 2y = 8 \) is \( (x, y) = (4, -1) \).
If you want another solution, you can choose a different value for \( x \) or \( y \).