Question

question
solve for a.
38 = 22 + \frac{1}{4}a

Explanation:

Step1: Subtract 22 from both sides

To isolate the term with \(a\), we subtract 22 from both sides of the equation \(38 = 22+\frac{1}{4}a\). This gives us \(38 - 22=\frac{1}{4}a\). Calculating the left - hand side, \(38-22 = 16\), so the equation becomes \(16=\frac{1}{4}a\).

Step2: Multiply both sides by 4

To solve for \(a\), we multiply both sides of the equation \(16=\frac{1}{4}a\) by 4. Using the property of equality, if we multiply both sides by 4, we get \(16\times4=a\). Calculating \(16\times4\), we find that \(a = 64\).

Answer:

\(a = 64\)