The equation 0.24x−0.74=−1.1

Question

is solved as follows. Fill in the correct numbers to complete the solution.(1 point)
0.24x−0.74=−1.1
0.24x=__Add 0.74 to both sides.
x=__Divide both sides by 0.24.

Answer 1

To solve the equation \( 0.24x - 0.74 = -1.1 \), we can follow the steps outlined.

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

2. Add \( 0.74 \) to both sides to isolate the term with \( x \): \[ 0.24x = -1.1 + 0.74 \] 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 division: \[ x = -1.5 \]

Thus, filling in the blanks:

• For \( 0.24x = _ \), the answer is \(-0.36\).
• For \( x = _ \), the answer is \(-1.5\).

The completed solution is: \[ 0.24x = -0.36 \quad \text{(Add 0.74 to both sides.)} \] \[ x = -1.5 \quad \text{(Divide both sides by 0.24.)} \]