Question

1. reasoning ben says that n = 5 is the solution of the equation 7n = 45. how can you check whether ben is correct?

Explanation:

Step1: Substitute \( n = 5 \)

Substitute \( n = 5 \) into the left - hand side of the equation \( 7n=45 \). The left - hand side of the equation is \( 7n \), so when \( n = 5 \), we calculate \( 7\times5 \).
\( 7\times5=35 \)

Step2: Compare with RHS

The right - hand side of the equation \( 7n = 45 \) is \( 45 \). We compare the value we got from substituting \( n = 5 \) (which is \( 35 \)) with \( 45 \). Since \( 35
eq45 \), \( n = 5 \) is not a solution of the equation \( 7n = 45 \).

Answer:

To check if \( n = 5 \) is the solution of \( 7n=45 \), substitute \( n = 5 \) into the left - hand side of the equation. Calculate \( 7\times5 = 35 \). Since \( 35
eq45 \) (the right - hand side of the equation), \( n = 5 \) is not the solution of \( 7n = 45 \), so Ben is incorrect.