Question

Evaluate the rational expression for the given values 4y-1/ 5y-3 y=0, y= 2, and y= -1

Answer 1

`\begin{gathered} y=0\rightarrow(1)/(3) \\ y=2\rightarrow1 \\ y=-1\rightarrow(5)/(8) \end{gathered}`

Explanation:

We have the following expression:

`(4y-1)/(5y-3)`

We evaluate in each case:

`\begin{gathered} y=0 \\ (4\cdot\left(0\right)-1)/(5\cdot\left(0\right)-3)=(0-1)/(0-3)=(1)/(3) \\ \\ y=2 \\ (4\cdot\left(2\right)-1)/(5\cdot\left(2\right)-3)=(8-1)/(10-3)=(7)/(7)=1 \\ \\ y=-1 \\ \:(4\cdot\left(-1\right)-1)/(5\cdot\left(-1\right)-3)=\:(-4-1)/(-5-3)=(-5)/(-8)=(5)/(8) \end{gathered}`