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Given the equation y=-3x+2.5When y=8.5, what is the value of x that makes the equation true?

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Sagot :

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.

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