Chapter 11.3, Problem 48CCR

To determine

To find: Solve given equation.

Answer to Problem 48CCR

  $x=-1$

Explanation of Solution

Given information:

  $3.5x+1=-2.5$

Given

  $3.5x+1=-2.5$

On solving

We get

  $\begin{array}{l}3.5x+1=-2.5\\ \Rightarrow 3.5x=-2.5-1\\ \Rightarrow 3.5x=-3.5\\ \Rightarrow \frac{3.5x}{3.5}=\frac{-3.5}{3.5}\\ \Rightarrow x=-1\end{array}$

Therefore

  $x=-1$

On substituting $x=-1$ in given equation

We get

  $\begin{array}{l}3.5x+1=-2.5\\ \Rightarrow 3.5\left(-1\right)+1=-2.5\\ \Rightarrow -3.5+1=-2.5\\ \Rightarrow -2.5=-2.5\end{array}$

Therefore,

  $x=-1$ is correct solution