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Answer:
x=-2
Explanation:
Given the equation:
[tex]y=-3x+2.5[/tex]When y=8.5, we have:
[tex]8.5=-3x+2.5[/tex]To solve for x, subtract 2.5 from both sides.
[tex]\begin{gathered} 8.5-2.5=-3x+2.5-2.5 \\ 6=-3x \end{gathered}[/tex]Next, divide both sides by -3.
[tex]\begin{gathered} \frac{6}{-3}=\frac{-3x}{-3} \\ -2=x \\ \implies x=-2 \end{gathered}[/tex]The value of x that makes the equation true is -2.