Question

Complete each equation so that it is true for no values of x

Answer 1

By definition, an equation has no solution when does not exist a value of the variable that makes the equation true.

• In this case, you have this expression on the left side of the first equation:

`3x+6_{}_{}`

Then, knowing part of the right side, you can set up the following:

`3x+6=3(x+1)`

Notice that you need to write a value different from 6, in order to make the equation false, In this case, you cannot complete the missing value with 2, because;

`3\cdot2=6`

Then, having that equation. you can solve it as follows:

`\begin{gathered} 3x+6=3x+3 \\ 3x-3x=3-6 \\ 0=-3\text{ (False)} \end{gathered}`

• Given the second equation that has this left side:

`x-2`

The missing value must be: