Question

14 − 7p = −7 (p − 2) Solve for p

Answer 1

Answer:

There are infinite solutions for p

Step-by-step explanation:

Start by distributing the -7 to each term in the parentheses:

14 - 7p = -7(p) - 7(-2)

14 - 7p = -7p - (-14)

14 - 7p = -7p+14

Subtract 14 from both sides (subtraction property of equality)

-7p = -7p

Divide both sides by -7 (division property of equality)

p=p

Subtract p from both sides (subtraction property of equality)

0=0

This means that there are infinite solutions

Answer 2

Answer:

Infinitely many solutions

Step-by-step explanation:

$14-7p=-7(p-2)\\\\14-7p=-7p+14\\\\-7p=-7p\\\\p=p$

Therefore, $p\in \mathbb{R}$, which means all real values of p are solutions