Question

Given the equation y= -3x+2.5, answer each questiona. when x is 1, what value of y makes the equation true?b. when x is -1.5, what value of y makes the equation true? c. When y is 8.5, what value of x makes the equation true?

Answer 1

a. y=-0.5

b.y=7

c.x=-2

Step-by-step explanation:

Given the equation:

`y=-3x+2.5`

Part A

When x=1

`\begin{gathered} y=-3(1)+2.5 \\ =-3+2.5 \\ y=-0.5 \end{gathered}`

Part B

When x=-1.5

`\begin{gathered} y=-3(-1.5)+2.5 \\ =4.5+2.5 \\ y=7 \end{gathered}`

Part C

When y=8.5

`\begin{gathered} 8.5=-3x+2.5 \\ 8.5-2.5=-3x \\ 6=-3x \\ x=(6)/(-3) \\ x=-2 \end{gathered}`