Question

Solve for p: (2p−1) / 2 + ¼ = ( p+ 1)/6

Pls Explain ​

Answer 1

Step-by-step explanation:

Multiply both sides of the equation by 12, the least common multiple of 2,4,6.

6(2p−1)+3=2(p+1)

Use the distributive property to multiply 6 by 2p−1.

Use the distributive property to multiply 6 by 2p−1.12p−6+3=2(p+1)

Add −6 and 3 to get −3.

Add −6 and 3 to get −3.12p−3=2(p+1)

Use the distributive property to multiply 2 by p+1.

Use the distributive property to multiply 2 by p+1.12p−3=2p+2

Subtract 2p from both sides.

Subtract 2p from both sides.12p−3−2p=2

Combine 12p and −2p to get 10p.

Combine 12p and −2p to get 10p.10p−3=2

Add 3 to both sides.

Add 3 to both sides.10p=2+3

Add 2 and 3 to get 5.

Add 2 and 3 to get 5.10p=5

Divide both sides by 10.

Divide both sides by 10.p=

Divide both sides by 10.p= 10

Divide both sides by 10.p= 105

Divide both sides by 10.p= 105

Divide both sides by 10.p= 105

Divide both sides by 10.p= 105 Reduce the fraction

Divide both sides by 10.p= 105 Reduce the fraction 10

Divide both sides by 10.p= 105 Reduce the fraction 105

Divide both sides by 10.p= 105 Reduce the fraction 105

Divide both sides by 10.p= 105 Reduce the fraction 105 to lowest terms by extracting and canceling out 5.

Divide both sides by 10.p= 105 Reduce the fraction 105 to lowest terms by extracting and canceling out 5.p=

Divide both sides by 10.p= 105 Reduce the fraction 105 to lowest terms by extracting and canceling out 5.p= 2

Divide both sides by 10.p= 105 Reduce the fraction 105 to lowest terms by extracting and canceling out 5.p= 21

Divide both sides by 10.p= 105 Reduce the fraction 105 to lowest terms by extracting and canceling out 5.p= 21

Answer 2

Answer:

½

Step-by-step explanation:

$\frac{2p - 1}{2} + \frac{1}{4} = \frac{p + 1}{6} \\ \frac{4p - 2 + 1}{4} = \frac{p + 1}{6} \\ (4p - 1)6 = (p + 1)4 \\ 24p - 6 = 4p + 4 \\ 24p - 4p = 6 + 4 \\ 20p = 10 \\ p = \frac{10}{20} \\ p = \frac{1}{2}$

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