Solve Two-Step Linear Equations Quick Check

Question

3 of 53 of 5 Items

Question
Solve for x.
114x+9=31(1 point)
Responses

x=110
x equals 110

x=8
x equals 8

x=−8
x equals negative 8

x=22

Answer 1

To solve the equation \( 114x + 9 = 31 \), follow these steps:

1. Subtract 9 from both sides:
   \( 114x + 9 - 9 = 31 - 9 \)
   \( 114x = 22 \)

2. Divide by 114 to isolate x:
   \( x = \frac{22}{114} \)
   \( x = \frac{1}{5.18} \) (approximately)
   (You can also simplify: \( x = \frac{1}{5.18} \approx 0.193 \))

If we assume you meant to have \( 114x + 9 = 31 \), we missed the equation \( 114x = 31 - 9 \) would simplify to \( 22 \) which gives:

3. Final computation:
   \( x \approx 0.193 \)

Since the confusion is recurred, I suggest double-checking the formulation of the equation to confirm.

None of your chosen responses accurately reflect the answer to ( 114x + 9 = 31 .).

The correct possibility is neither of the options given: no exact "x" value.

Was this the question you meant to ask? If it's a mistake please show the accurate equation you intended to utilize.