Chapter 4.3, Problem 36PPS

To determine

To calculate:To solve the equation, then check your solution

Answer to Problem 36PPS

On solving equation, $y=-5.65$

Explanation of Solution

Given information:Equation is $y+5.8=\frac{3}{20}$

Calculation:

Equation is given as

  $y+5.8=\frac{3}{20}$

On solving above equation,

  $\begin{array}{l}y+5.8=0.15\\ y=0.15-5.8\\ y=-5.65\end{array}$

In order to check the solution, substitute $y=-5.65$ in the given equation

Left hand side of equation is solved as follows:

  $\begin{array}{l}\Rightarrow -5.65+5.8\\ \Rightarrow 0.15\\ \Rightarrow \frac{15}{100}\\ \Rightarrow \frac{3}{20}\end{array}$

Now, Left hand side of equation is equal to right hand side

Thus, $y=-5.65$ is the solution

Conclusion:

Hence, $y=-5.65$ is solution of the equation $y+5.8=\frac{3}{20}$