Question

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

Answer 1

ANSWER:

$\begin{gathered} y=0\rightarrow\frac{1}{3} \\ y=2\rightarrow1 \\ y=-1\rightarrow\frac{5}{8} \end{gathered}$

STEP-BY-STEP EXPLANATION:

We have the following expression:

$\frac{4y-1}{5y-3}$

We evaluate in each case:

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