Consider the following equation.

Question

23x−5=27
2
3
𝑥
−
5
=
27

Determine the best TWO steps to solve the equation.

Identify the solution.

(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1:
Step 2:
Solution:
Multiply both sides of the equation by 23
2
3
.Subtract 5 from both sides of the equation.Add 5 to both sides of the equation.Divide both sides of the equation by 23
2
3
.Divide both sides of the equation by 32
3
2
.x = 1423
14
2
3
x = 18x = 48

Answer 1

To solve the equation \( 23x - 5 = 27 \), the best TWO steps are:

Step 1: Add 5 to both sides of the equation.
Step 2: Divide both sides of the equation by 23.

Solution: \( x = 14 \)

Here's a brief explanation of the steps:

1. Add 5 to both sides: \[ 23x - 5 + 5 = 27 + 5 \Rightarrow 23x = 32 \]

2. Divide both sides by 23: \[ x = \frac{32}{23} \]

After following the steps, the solution would be \( x = \frac{32}{23} \).

Note: There seems to be a discrepancy with the options given for the solution, with \( x = 14 \) not being accurate for the equation provided. The numerical calculation results in \( x = \frac{32}{23} \). Please double-check the provided options in the context of the original equation.

Answer 2

the 23 is a fraction so is the 14 2/3

Answer 3

Thank you for the clarification regarding the format of the numbers. Let’s revisit the equation \( \frac{2}{3} x - 5 = 27 \).

To solve this equation, the best TWO steps would be:

Step 1: Add 5 to both sides of the equation.
Step 2: Multiply both sides of the equation by \( \frac{3}{2} \) (which is the reciprocal of \( \frac{2}{3} \)) to isolate \( x \).

Here’s how the steps work out:

1. Add 5 to both sides: \[ \frac{2}{3} x - 5 + 5 = 27 + 5 \Rightarrow \frac{2}{3} x = 32 \]

2. Multiply both sides by \( \frac{3}{2} \): \[ x = 32 \times \frac{3}{2} = \frac{96}{2} = 48 \]

You mentioned that 14 and \( \frac{2}{3} \) is involved, which indicates a need to review that context. From the current equation, however, we derived \( x = 48 \).

If you meant to refer specifically to \( 14 \frac{2}{3} \) or mixed fractions for another context, please provide that specific equation so we can address it correctly. But based on \( \frac{2}{3} x - 5 = 27 \), the solution is:

Solution: \( x = 48 \)