Find p using Landry's Method. {:[6(p+p+11)=162],[(6(p+p+11))/(6)=(162)/(6)]:}

Combine Like Terms: Simplify the equation inside the parentheses. We have the equation 6(p + p + 11) = 162. First, we combine like terms inside the parentheses. p + p = 2p So the equation becomes 6(2p + 11) = 162.Divide by 6: Divide both sides of the equation by 6 to isolate the term with the variable p. (6(2p + 11)) / 6 = 162 / 6 This simplifies to: 2p + 11 = 27Subtract 11: Subtract 11 from both sides of the equation to solve for 2p. 2p + 11 - 11 = 27 - 11 This simplifies to: 2p = 16Divide by 2: Divide both sides of the equation by 2 to solve for p. 2p / 2 = 16 / 2 This simplifies to: p = 8

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find p using Landry's Method.
{:[6(p+p+11)=162],[(6(p+p+11))/(6)=(162)/(6)]:}

Find p using Landry's Method. $\newline$ $\begin{array}{l} 6(p+p+11)=162 \\ \frac{6(p+p+11)}{6}=\frac{162}{6} \end{array}$

View step-by-step help

Home

Math Problems

Grade 8

Checkpoint: Rational and irrational numbers

Full solution

Q. Find p using Landry's Method.

\newline

\begin{array}{l} 6(p+p+11)=162 \\ \frac{6(p+p+11)}{6}=\frac{162}{6} \end{array}

Combine Like Terms: Simplify the equation inside the parentheses. $\newline$ We have the equation $6(p + p + 11) = 162$ . First, we combine like terms inside the parentheses. $\newline$ $p + p = 2p$ $\newline$ So the equation becomes $6(2p + 11) = 162$ .
Divide by $6$ : Divide both sides of the equation by $6$ to isolate the term with the variable $p$ . $\frac{6(2p + 11)}{6} = \frac{162}{6}$ This simplifies to: $2p + 11 = 27$
Subtract $11$ : Subtract $11$ from both sides of the equation to solve for $2p$ . $\newline$ $2p + 11 - 11 = 27 - 11$ $\newline$ This simplifies to: $\newline$ $2p = 16$
Divide by $2$ : Divide both sides of the equation by $2$ to solve for $p$ . $\frac{2p}{2} = \frac{16}{2}$ This simplifies to: $p = 8$