Question

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

Answer 1

x=-2

Step-by-step explanation:

Given the equation:

`y=-3x+2.5`

When y=8.5, we have:

`8.5=-3x+2.5`

To solve for x, subtract 2.5 from both sides.

`\begin{gathered} 8.5-2.5=-3x+2.5-2.5 \\ 6=-3x \end{gathered}`

Next, divide both sides by -3.

`\begin{gathered} (6)/(-3)=(-3x)/(-3) \\ -2=x \\ \implies x=-2 \end{gathered}`

The value of x that makes the equation true is -2.