Q44. - Algebra 1

Question

OPEN ENDED Create an equation with at least two grouping symbols for which there is no solution.

Step-by-Step Solution

Answer

The required equation is $3\left(x+2\right)-4=3\left(x+1\right)$.

Step 1. State the concept.

An equation is solved by carrying out the same operations on both sides such that the variable is isolated on one side and its value is on the other side.

Step 2. List the objective.

The objective is to create an equation with at least two grouping symbols for which there is no solution.

Step 3. Formulate the equation.

Let the variable be $x$.

 

Start with different constant values on both sides: $2=3$

 

Introduce a variable term with the same coefficient on both sides: $3x+2=3x+3$

 

Manipulate the terms to get two grouping symbols: $3x+6-4=3\left(x+1\right)$

 

Introduce the grouping symbol: $3\left(x+2\right)-4=3\left(x+1\right)$

 

So, the required equation is $3\left(x+2\right)-4=3\left(x+1\right)$.