Question

Find any solution(s) of x=2x+1 and select the correct statement.

Question 22 options:

The equation has one solution and one extraneous solution.


The equation has one solution.


The equation has two solutions.


The equation has no solution.

Answer 1

-1 would be a solution.

-1=2(-1)+1
-1= -2+1
-1= -1

I believe the answer would be one solution.

Answer 2

Given :-

• x = 2x +1

To Find :-

• To choose the correct option

1. The equation has one solution and one extraneous solution.
2. The equation has one solution.
3. The equation has two solutions.
4. The equation has no solution.

Solution :-

Taking the given equation ,

$\red\longrightarrow$ x = 2x +1

Subtracting 2x both the sides ,

$\red\longrightarrow$ x-2x = 1

Simplify ,

$\red\longrightarrow$ -x = 1

Multiply both the sides by -1

$\red\longrightarrow$ x = -1

Hence the equation has one solution.