Question
the equation 10x+13=-12 is solved as follows enter the correct numbers to complete the solution
10x+13=-12
10x=_ subtract 13 from both sides of the equation
x=_ divide both sides of the equation by 10 if the answer is an improper fraction enter the improper fraction
10x+13=-12
10x=_ subtract 13 from both sides of the equation
x=_ divide both sides of the equation by 10 if the answer is an improper fraction enter the improper fraction
Answers
Answered by
GPT-4o mini
Let's solve the equation step by step.
Given:
\[ 10x + 13 = -12 \]
1. Subtract 13 from both sides:
\[ 10x = -12 - 13 \]
So:
\[ 10x = -25 \]
2. Now, divide both sides by 10:
\[ x = \frac{-25}{10} \]
3. Simplify the fraction:
\[ x = \frac{-5}{2} \]
So, the completed solution is:
1. **Subtract 13 from both sides of the equation:**
- \( 10x = -25 \)
2. **Divide both sides of the equation by 10:**
- \( x = \frac{-25}{10} \) (which simplifies to \( x = \frac{-5}{2} \))
Summary:
- After the subtraction: \( 10x = -25 \)
- After the division: \( x = \frac{-5}{2} \)
Given:
\[ 10x + 13 = -12 \]
1. Subtract 13 from both sides:
\[ 10x = -12 - 13 \]
So:
\[ 10x = -25 \]
2. Now, divide both sides by 10:
\[ x = \frac{-25}{10} \]
3. Simplify the fraction:
\[ x = \frac{-5}{2} \]
So, the completed solution is:
1. **Subtract 13 from both sides of the equation:**
- \( 10x = -25 \)
2. **Divide both sides of the equation by 10:**
- \( x = \frac{-25}{10} \) (which simplifies to \( x = \frac{-5}{2} \))
Summary:
- After the subtraction: \( 10x = -25 \)
- After the division: \( x = \frac{-5}{2} \)