Question

The equation 10x + 13 = -12 is solved as follows. Enter the correct numbers to complete the solution

10x + 13 = -12

10x = blank Subtract 13 from both sides of the equation

x = blank Divide both sides of the equation by 10. If the answer is an improper fraction, enter the improper fraction

Answer 1

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

Starting with the equation:

\[ 10x + 13 = -12 \]

1. We subtract 13 from both sides of the equation:

\[ 10x = -12 - 13 \]

Calculating the right side:

\[ -12 - 13 = -25 \]

So now we have:

\[ 10x = -25 \]

2. Next, we divide both sides of the equation by 10:

\[ x = \frac{-25}{10} \]

3. Simplifying the fraction:

\[ x = \frac{-25 \div 5}{10 \div 5} = \frac{-5}{2} \]

Now we can fill in the blanks:

- After subtracting 13 from both sides:

\[ 10x = -25 \] (This goes in the first blank)

- After dividing both sides by 10:

\[ x = \frac{-5}{2} \] (This goes in the second blank)

So the complete solution is:
\[ 10x + 13 = -12 \]
\[ 10x = -25 \]
\[ x = \frac{-5}{2} \]