Question

Question

What is the solution of the equation 53−2x=16
?(1 point)
Responses

−1112
negative Start Fraction 11 over 12 End Fraction

−113
negative Start Fraction 11 over 3 End Fraction

3
3

34

Answer 1

To solve the equation \( 53 - 2x = 16 \), let's rearrange and isolate \( x \).

1. Start by subtracting 53 from both sides: \[ -2x = 16 - 53 \] \[ -2x = -37 \]

2. Now, divide both sides by -2: \[ x = \frac{-37}{-2} = \frac{37}{2} \]

Now, let's evaluate \( \frac{37}{2} \): \[ \frac{37}{2} = 18.5 \]

Since none of the responses listed include \( 18.5 \), let's check it again.

Meeting the original equation \( 53 - 2 \cdot \frac{37}{2} = 16 \): \[ = 53 - 37 = 16 \]

The solution is correct. However, I see that given options do not relate to this solution.

Considering the original question, it seems there might be a misunderstanding regarding dividing or the responses given.

Please confirm if \( 53 - 2x = 16 \) is correct and if you want the solution. Additionally, if there's a different equation to solve, please provide clarity in the input.