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3 years ago

P minus 1 equals 5 p plus 3 p minus 8

Mathematics

2 answers:

son4ous [18]3 years ago

5 0

Answer:

p + 3 = 9

p - 8 = -2

Step-by-step explanation:

We know this:

p - 1 = 5

Solve for p:

p - 1 = 5 - add 1 to both sides

p = 6

Now we solve:

p + 3 = ? - Substitute p for 6

6 + 3 = 9

p - 8 = ? - Substitute p for 6

6 - 8 = -2

frez [133]3 years ago

4 0

Answer:

p -1 = 5p + 3p -8

p=1

Step-by-step explanation:

p -1 = 5p + 3p -8

Combine like terms

p-1 = 8p -8

Subtract p from each side

p-1-p = 8p-p -8

-1 = 7p -8

Add 8 to each side

-1 +8 =7p-8+8

7 = 7p

Divide by 7

7/7 = 7p/7

1 =p

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Solution:

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First square both sides.

$= > ( \sqrt{4x + 13} ) ^{2} = (x + 2) ^{2}$

Now, square root and square gets cancel out in the LHS. And in the RHS, apply the identity: (a + b)² = a² + 2ab + b².

$= > 4x + 13 = {(x)}^{2} + 2 \times x \times 2 + (2) ^{2} \\ = > 4x + 13 = {x}^{2} + 4x + 4$

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Now, do the addition and subtraction.

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Answer:

x = ± 3

Hope you could understand.

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