contestada

Which of the following equations have exactly one solution?

Choose all answers that apply:

A 2x - 31 = 2x - 31
B 2x - 31 = -2x - 31
C 2x + 31 = 2x - 31
D 2x - 2 = 2x - 31

Respuesta :

absor201

Correct option is Option B

Step-by-step explanation:

We need to find which of the equations has exactly one solution.

We will solve all options and check our results

A. [tex]2x - 31 = 2x - 31[/tex]

Solving:

[tex]2x - 31 = 2x - 31\\2x-2x=-31+31\\0=0[/tex]

There are infinite number of solutions

B.  [tex]2x - 31 = -2x - 31[/tex]

Solving:

[tex]2x - 31 = -2x - 31\\2x+2x=-31+31\\4x=0\\x=0[/tex]

The equation has only one solution

C.  [tex]2x +31 = 2x - 31[/tex]

Solving:

[tex]2x +31 = 2x - 31\\2x-2x=-31-31\\0=-62[/tex]

Since both sides are not equal so, the equation has no solution

D.  [tex]2x - 2 = 2x - 31[/tex]

Solving:

[tex]2x-2 = 2x - 31\\2x-2x=-31+2\\0=-29[/tex]

Since both sides are not equal so, the equation has no solution

So, Correct option is Option B

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/2386054
  • brainly.com/question/2115716
  • brainly.com/question/11306893

#learnwithBrainly

Answer:

B

Step-by-step explanation:

For khan

Otras preguntas