Question

the equation -3x -9 =-21 is solved as follows. enter the correct numbers to complete the solution.
-3x-9=-21
-3x=__add 9 to both sides of the equation
x=__ divide both sides of the equation by -3 if the answer is an improper fraction enter the improper fraction.

Answer 1

the equation 5x +13 =-12 is solved as follows. enter the correct numbers to complete the solution.
5x+13=-12
5x=__ Subtract 13 from both sides of the equation
x=__ divide both sides of the equation by 5

Answer 2

the equation 4/5x-5=1/4 is solved as follows. enter the correct numbers to complete the solution.
4/5x-5=1/4
4/5x=__ add 5 to both sides of the equation
x=__ divide both sides of the equation by 4/5

Answer 3

the equation -2.4x-1.1=3.7 is solved as follows. enter the correct numbers to complete the solution.
-2.4x-1.1=3.7
-2.4x=__ add 1.1 to both sides of the equation
x=__ divide both sides of the equation by -2.4

Answer 4

Thank you so much!!! all of them are correct!

Answer 5

Let's solve the equation step by step.

Starting with the equation:

\[
-3x - 9 = -21
\]

1. **Add 9 to both sides**:

\[
-3x = -21 + 9
\]

This simplifies to:

\[
-3x = -12
\]

So, the first blank is **-12**.

2. **Divide both sides of the equation by -3**:

\[
x = \frac{-12}{-3}
\]

This simplifies to:

\[
x = 4
\]

So, the second blank is **4**.

Putting it all together:

- The first blank is **-12**.
- The second blank is **4**.

So, the complete solution looks like:
- -3x = **-12** (after adding 9)
- x = **4** (after dividing by -3)

Answer 6

Let's solve the equation step by step:

Starting with the equation:

\[
5x + 13 = -12
\]

1. **Subtract 13 from both sides**:

\[
5x = -12 - 13
\]

This simplifies to:

\[
5x = -25
\]

So, the first blank is **-25**.

2. **Divide both sides of the equation by 5**:

\[
x = \frac{-25}{5}
\]

This simplifies to:

\[
x = -5
\]

So, the second blank is **-5**.

Putting it all together:

- The first blank is **-25** (after subtracting 13).
- The second blank is **-5** (after dividing by 5).

So, the complete solution looks like:
- \( 5x = -25 \) (after subtracting 13)
- \( x = -5 \) (after dividing by 5)

Answer 7

Let's solve the equation step by step.

Starting with the equation:

\[
\frac{4}{5}x - 5 = \frac{1}{4}
\]

1. **Add 5 to both sides**:

\[
\frac{4}{5}x = \frac{1}{4} + 5
\]

To add \(\frac{1}{4}\) and 5, we can express 5 as a fraction:

\[
5 = \frac{20}{4}
\]

Now, add the fractions:

\[
\frac{1}{4} + \frac{20}{4} = \frac{21}{4}
\]

So, the first blank is **\(\frac{21}{4}\)**.

2. **Divide both sides of the equation by \(\frac{4}{5}\)**:

To divide by a fraction, we multiply by its reciprocal:

\[
x = \frac{21/4}{4/5} = \frac{21}{4} \times \frac{5}{4} = \frac{21 \times 5}{4 \times 4} = \frac{105}{16}
\]

So, the second blank is **\(\frac{105}{16}\)**.

Putting it all together:

- The first blank is **\(\frac{21}{4}\)** (after adding 5).
- The second blank is **\(\frac{105}{16}\)** (after dividing by \(\frac{4}{5}\)).

So, the complete solution looks like:
- \(\frac{4}{5}x = \frac{21}{4}\) (after adding 5)
- \(x = \frac{105}{16}\) (after dividing by \(\frac{4}{5}\))

Answer 8

Let's solve the equation step by step.

Starting with the equation:

\[
-2.4x - 1.1 = 3.7
\]

1. **Add 1.1 to both sides**:

\[
-2.4x = 3.7 + 1.1
\]

This simplifies to:

\[
-2.4x = 4.8
\]

So, the first blank is **4.8**.

2. **Divide both sides of the equation by -2.4**:

\[
x = \frac{4.8}{-2.4}
\]

This simplifies to:

\[
x = -2
\]

So, the second blank is **-2**.

Putting it all together:

- The first blank is **4.8** (after adding 1.1).
- The second blank is **-2** (after dividing by -2.4).

The complete solution looks like:
- \(-2.4x = 4.8\) (after adding 1.1)
- \(x = -2\) (after dividing by -2.4)

Answer 9

You're very welcome! I'm glad to hear that everything was correct. If you have any more questions or need further assistance, feel free to ask. Happy studying!