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.
-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.
Answers
GPT-4o mini
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)
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)
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
5x+13=-12
5x=__ Subtract 13 from both sides of the equation
x=__ divide both sides of the equation by 5
GPT-4o mini
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)
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)
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
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
GPT-4o mini
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 \(\frac{4}{5}\))
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 \(\frac{4}{5}\))
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
-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
GPT-4o mini
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)
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)
Thank you so much!!! all of them are correct!
GPT-4o mini
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!