Question

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 p =

Answer 1

p = 11.2

Explanation:

2.6(5.5p - 12.4) = 127.92

First we use the distributive property:

2.6(5.5p) - 2.6(12.4) = 127.92

14.3p - 32.24 = 127.92

Using the addition property of equality, add 32.24 to each side:

14.3p - 32.24 + 32.24 = 127.92 + 32.24

14.3p = 160.16

Using the division property of equality, divide each side by 14.3:

14.3p/14.3 = 160.16/14.3

p = 11.2

Answer 2

P= 11.2

Not sure why you took p out of the equation.

2.6(5.5p-12.4)=127.92

14.3p - 32.24 =127.92

14.3p = 160.16

P = 11.2