What is the answe to this ?

Question

asked Jun 22, 2024 162k views

1 Answer

Gemantzu · Answer 1 · 2024-06-28T21:43:53+0000

Answer:

$\boxed{\bf B.\: 2x-31=-2x-31}$

Explanation:

$\boxed{\bf A.\: 2x-31=2x-31}$

$\tt 2x-31=2x-31$

Since both sides are equal, there're infinitely many solutions.

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$\boxed{\bf B.\: 2x-31=-2x-31}$

$\tt 2x-31=-2x-31$

$\tt 2x=-2x$

$\tt 4x=0$

$\tt \cfrac{4x}{4}=\cfrac{0}{4}$

$\tt x=0$

One solution.

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$\boxed{\bf C.\;2x+31=2x-31}$

$\tt 2x+31=2x-31$

$\tt 2x+31-2x=2x-31-2x$

$\tt 31=-31$

Sides are not equal, meaning there is no solution.

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$\boxed{\bf D.\;2x-2=2x-31}$

$\tt 2x-2=2x-31$

$\tt 2x-2-2x=2x-31-2x$

$\tt -2=-31$

The sides are not equal, there's no solution.

Therefore, the only option is B.

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Hope this helps!