Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions. \\(\frac{a}{-19} + 15 = 14\\) \\(\frac{a}{-19} = \square\\) \\(a = \square\\)

Explanation:

Step1: Subtract 15 from both sides

To isolate the term with \( a \), we subtract 15 from both sides of the equation \( \frac{a}{-19} + 15 = 14 \). Using the subtraction property of equality, we get \( \frac{a}{-19} + 15 - 15 = 14 - 15 \), which simplifies to \( \frac{a}{-19} = -1 \).

Step2: Multiply both sides by -19

To solve for \( a \), we multiply both sides of the equation \( \frac{a}{-19} = -1 \) by -19. Using the multiplication property of equality, we have \( \frac{a}{-19} \times (-19) = -1 \times (-19) \), which simplifies to \( a = 19 \).

Answer:

First blank: \(-1\) (description: Subtract 15 from both sides)
Second blank: \(19\) (description: Multiply both sides by -19)