Question

solve for p.
\\(\frac{7}{10}(p + 2) = 3\\)
write your answer as a fraction or as a whole or mixed number. do not use decimals.
\\(p = \square\\)
submit

Explanation:

Step1: Multiply both sides by 10/7

To isolate the term with \( p \), we multiply both sides of the equation \(\frac{7}{10}(p + 2)=3\) by the reciprocal of \(\frac{7}{10}\), which is \(\frac{10}{7}\). So we have:
\(p + 2=3\times\frac{10}{7}\)
\(p + 2=\frac{30}{7}\)

Step2: Subtract 2 from both sides

We know that \( 2=\frac{14}{7} \), so we subtract \(\frac{14}{7}\) from both sides to solve for \( p \):
\(p=\frac{30}{7}-\frac{14}{7}\)
\(p=\frac{30 - 14}{7}\)
\(p=\frac{16}{7}\)

Answer:

\(\frac{16}{7}\)