Chapter 6, Problem 3GR

To determine

To solve the equation $4x-1=3\left(x+1\right)+x$

Answer to Problem 3GR

No solution.

Explanation of Solution

Given:

  $4x-1=3\left(x+1\right)+x$

Calculation:

  $\begin{array}{l}4x-1=3\left(x+1\right)+x\\ \Rightarrow 4x-1=3x+3+x\\ \Rightarrow 4x-1=\left(3x+x\right)+3\\ \Rightarrow 4x-1=4x+3\\ \Rightarrow -1=3\end{array}$

Which is not possible.

Hence the given equation has no solution.