What is the solution of the equation 53−2x=16

Question

5
3
−
2
𝑥
=
1
6
?(1 point)
Responses

34
3
4
Start Fraction 3 over 4 End Fraction

3
3

−1112
−
11
12
negative Start Fraction 11 over 12 End Fraction

−113

Answer 1

To solve the equation \( 53 - 2x = 16 \), follow these steps:

1. Isolate the term containing \( x \): \[ 53 - 2x = 16 \] Subtract 53 from both sides: \[ -2x = 16 - 53 \] Simplifying the right side: \[ -2x = -37 \]

2. Solve for \( x \): Divide both sides by -2: \[ x = \frac{-37}{-2} = \frac{37}{2} \]

This means: \[ x = 18.5 \]

Now let's convert \( \frac{37}{2} \) to a decimal: \[ x = 18.5 \]

None of the options you provided directly match this calculation. Could you please check the choices again?

Answer 2

choose from the options

Answer 3

I apologize for the confusion earlier. Let's analyze the options you've provided, based on the equation \( 53 - 2x = 16 \).

The correct calculation, as previously shown, is \( 2x = 53 - 16 \): \[ 2x = 37 \implies x = \frac{37}{2} = 18.5. \]

However, let’s reassess because it seems the options may suggest a different way of interpreting the problem. The options you provided are:

1. \( \frac{3}{4} \)
2. \( -\frac{11}{12} \)
3. \( -\frac{113}{?} \)

These options look significantly different from the result we computed.

Could you please clarify or confirm the options you want under the assumption that the base equation is correct? If the intention of the problem was in a different context (such as applying a different set of rules or concepts) or if there was an error in transcription, please let me know.