85.9k views
3 votes
Solve for p -160 = 22 + 8 (3p - 4)

2 Answers

7 votes
p - 160 = 22 + 8 (3p - 4)
p = 182 + 8 (3p - 4)
p = 182 + 24p - 32
24p = 182 - 32
24p = 150
p = 6.25

ALL IN MY HEAD
User SoCo
by
8.0k points
0 votes

Answer: The required value of p is
-(150)/(23).

Step-by-step explanation: We are given to solve the following linear equation for p :


p-160=22+8(3p-4)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To solve the given equation for p, we must bring all the terms involving p on the left hand side and the other constant terms on the right hand side of the equation.

The solution of equation (i) is as follows :


p-160=22+8(3p-4)\\\\\Rightarrow p-160=22+24p-32\\\\\Rightarrow p-160=24p-10\\\\\Rightarrow 24p-p=-160+10\\\\\Rightarrow 23p=-150\\\\\Rightarrow p=-(150)/(23).

Thus, the required value of p is
-(150)/(23).

User Kristen Grote
by
9.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories