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42 votes
42 votes
Solve this linear equation for p:

2.6(5.5p – 12.4) = 127.92



1. Distributive property:

2. Addition property of equality:



3. Division property of equality:

4. Solution:







14.3p – 32.24 = 127.92

14.3p – 32.24 + 32.24 = 127.92 + 32.24

14.3p = 160.16

StartFraction 14.3 p Over 14.3 EndFraction equals StartFraction 160.16 Over 14.3 EndFraction.

User Yaegashi
by
2.8k points

2 Answers

17 votes
17 votes

Answer:

11.2

Explanation:

User PuneetShanbhag
by
3.2k points
15 votes
15 votes

Answer:


2.6(5.5p - 12.4) = 127.92

• Distributive property


14.3p - 32.24 = 127.92

• Addition property of equality


14.3p = 127.92 + 32.24 \\ 14.3p = 160.16

• Division property of equality


(14.3p)/(14.3) = (160.16)/(14.3) \\ \\ p = (160.16)/(14.3)

Solution:


{ \boxed{ \boxed{ \bf{ \: \: p = 11.2 \: \: }}}}

User Enrico Campidoglio
by
2.5k points