Solve for p. {:[(2p+1)/(5p+6)=(1)/(7)],[p=]:}

Cross-Multiply Fractions: Cross-multiply to eliminate the fractions. (2p + 1) * 7 = (5p + 6) * 1Distribute Multiplication: Distribute the multiplication over addition on both sides. 14p + 7 = 5p + 6Combine Like Terms: Subtract 5p from both sides to get all the p terms on one side. 14p + 7 - 5p = 5p + 6 - 5p 9p + 7 = 6Isolate Variable: Subtract 7 from both sides to isolate the p term. 9p + 7 - 7 = 6 - 7 9p = -1Solve for p: Divide both sides by 9 to solve for p. p = -1/9

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Solve for
p.

{:[(2p+1)/(5p+6)=(1)/(7)],[p=]:}

Solve for $p$ . $\newline$ $\begin{array}{l} \frac{2 p+1}{5 p+6}=\frac{1}{7} \\ p=\square \end{array}$

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Solve for

p

\newline

\begin{array}{l} \frac{2 p+1}{5 p+6}=\frac{1}{7} \\ p=\square \end{array}

Cross-Multiply Fractions: Cross-multiply to eliminate the fractions. $\newline$ $(2p + 1) \times 7 = (5p + 6) \times 1$
Distribute Multiplication: Distribute the multiplication over addition on both sides. $\newline$ $14p + 7 = 5p + 6$
Combine Like Terms: Subtract $5p$ from both sides to get all the $p$ terms on one side. $\newline$ $14p + 7 - 5p = 5p + 6 - 5p$ $\newline$ $9p + 7 = 6$
Isolate Variable: Subtract $7$ from both sides to isolate the $p$ term. $\newline$ $9p + 7 - 7 = 6 - 7$ $\newline$ $9p = -1$
Solve for $p$ : Divide both sides by $9$ to solve for $p$ . $p = -\frac{1}{9}$