Chapter 4.3, Problem 19PPS

To determine

To calculate:To solve the equation, then check your solution and graph it on number line

Answer to Problem 19PPS

On solving equation, $y=-\frac{5}{4}$

Explanation of Solution

Given information:Equation is $y+\frac{3}{4}=-\frac{1}{2}$

Calculation:

Equation is given as

$y+\frac{3}{4}=-\frac{1}{2}$

On solving above equation,

> $\begin{array}{l}y=-\frac{1}{2}-\frac{3}{4}\\ y=\frac{-2}{4}-\frac{3}{4}\\ y=\frac{-5}{4}\end{array}$

In order to check the solution, substitute $y=-\frac{5}{4}$ in the given equation

$\begin{array}{l}LHS:\frac{29}{8}+1\frac{1}{8}\\ LHS:\frac{29}{8}+\frac{11}{8}\\ LHS:\frac{40}{8}\\ LHS:5\end{array}$

Now, LHS = RHS

Hence, $y=-\frac{5}{4}$ is solution of the equation $y+\frac{3}{4}=-\frac{1}{2}$

Graphing $y=-\frac{5}{4}$ on number line,