the equation -3x -9 =-21 is solved as follows. enter the correct numbers to complete the solution.

Question

-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

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 2

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 3

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 4

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 5

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 6

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 7

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 8

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

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!