Question

complete the process of solving the equation. fill in the missing term and select the missing description. simplify any fractions. \\(\frac{a + 5}{8} = 1\\) \\(a + 5 = 8\\) \\(a = \square\\) subtract 5 from both sides

Explanation:

Step1: Identify the operation

To get from \(\frac{a + 5}{8}=1\) to \(a + 5 = 8\), we multiply both sides of the equation by 8. This is the multiplication property of equality, which states that if we multiply both sides of an equation by the same non - zero number, the equation remains true. So the missing description for the step \(\frac{a + 5}{8}=1\) to \(a + 5 = 8\) is "Multiply both sides by 8".

Step2: Solve for \(a\)

We have the equation \(a+5 = 8\). Using the subtraction property of equality (subtract 5 from both sides), we get \(a=8 - 5\).

Step3: Calculate the value of \(a\)

\(8-5 = 3\), so \(a = 3\).

Answer:

The missing description for \(\frac{a + 5}{8}=1\) to \(a + 5 = 8\) is "Multiply both sides by 8" and the value of \(a\) is \(3\).