22. If \( a=3 \), then \( 5 a=15 \). If \( \frac{1}{2} a=1 \frac{1}{2} \), then \( a=3 \)

It looks like you're presenting two statements involving the variable \( a \). Let's examine each one to verify their accuracy and understand how \( a = 3 \) satisfies both conditions. ### 1. If \( a = 3 \), then \( 5a = 15 \). **Verification:** Given: \[ a = 3 \] Calculate \( 5a \): \[ 5a = 5 \times 3 = 15 \] **Conclusion:** When \( a = 3 \), multiplying it by 5 indeed gives \( 15 \). This statement is **true**. --- ### 2. If \( \frac{1}{2} a = 1 \frac{1}{2} \), then \( a = 3 \). **Verification:** Given: \[ \frac{1}{2} a = 1 \frac{1}{2} \] First, convert the mixed number to an improper fraction for easier manipulation: \[ 1 \frac{1}{2} = \frac{3}{2} \] Now, set up the equation: \[ \frac{1}{2} a = \frac{3}{2} \] To solve for \( a \), multiply both sides of the equation by 2 to eliminate the fraction: \[ 2 \times \left( \frac{1}{2} a \right) = 2 \times \frac{3}{2} \] \[ a = 3 \] **Conclusion:** Solving the equation \( \frac{1}{2} a = 1 \frac{1}{2} \) indeed results in \( a = 3 \). This statement is **true**. --- ### Summary Both statements are correct and consistently show that when \( a = 3 \): 1. Multiplying \( a \) by 5 yields 15. 2. Half of \( a \) equals \( 1 \frac{1}{2} \). If you have any further questions or need additional explanations on related topics, feel free to ask!