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

Let's solve the equation step by step to fill in the blanks.

Starting with the equation:

\[ 0.24x - 0.74 = -1.1 \]

1. Add 0.74 to both sides:

\[ 0.24x - 0.74 + 0.74 = -1.1 + 0.74 \]

That simplifies to:

\[ 0.24x = -1.1 + 0.74 \]

Calculating \(-1.1 + 0.74\):

\[ -1.1 + 0.74 = -0.36 \]

So, we have:

\[ 0.24x = -0.36 \]

Fill in the first blank:

\[ 0.24x = -0.36 \]

2. Now solve for \(x\):

Divide both sides by \(0.24\):

\[ x = \frac{-0.36}{0.24} \]

Calculating \(-0.36 \div 0.24\):

\[ x = -1.5 \]

Fill in the second blank:

\[ x = -1.5 \]

So, the final filled-in solution is:

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