The equation 0.24x−0.74=−1.1 is solved as follows. Fill in the correct numbers to complete the solution.(t)

0.24x−0.74=−1.1
0.24x=
Add 0.74 to both sides.
x=
Divide both sides by 0.24.

1 answer

To solve the equation \( 0.24x - 0.74 = -1.1 \), let's go through the steps you provided and fill in the missing values:

  1. Start with the original equation: \[ 0.24x - 0.74 = -1.1 \]

  2. Add \( 0.74 \) to both sides: \[ 0.24x = -1.1 + 0.74 \] Calculate the right side: \[ -1.1 + 0.74 = -0.36 \] So, we have: \[ 0.24x = -0.36 \]

  3. Now, divide both sides by \( 0.24 \): \[ x = \frac{-0.36}{0.24} \] Calculate the right side: \[ x = -1.5 \]

Putting it all together, the solution is:

\[ 0.24x - 0.74 = -1.1 \] \[ 0.24x = -0.36 \] \[ x = -1.5 \]