Question

Select the correct answer.

Which statement describes the solutions of this equation?
x/x+2+1/x=1

Answer 1

~Senpi boi here~

Explanation:

Multiply all terms by x and cancel:

x+2x+1=1x

3x+1=x(Simplify both sides of the equation)

3x+1−x=x−x(Subtract x from both sides)

2x+1=0

2x+1−1=0−1(Subtract 1 from both sides)

2x=−1

2x

2

=

−1

2

(Divide both sides by 2)

x=

−1

2

Check answers. (Plug them in to make sure they work.)

x=

−1

2

(Works in original equation)

Answer:

x= −1/2

(Hope this helps!)