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Arisa [49]
2 years ago
14

How many solutions exist for the given equation?

Mathematics
1 answer:
NemiM [27]2 years ago
5 0

Answer:

Zero

Step-by-step explanation:

Simplifying

12x + 1 = 3(4x + 1) + -2

Reorder the terms:

1 + 12x = 3(4x + 1) + -2

Reorder the terms:

1 + 12x = 3(1 + 4x) + -2

1 + 12x = (1 * 3 + 4x * 3) + -2

1 + 12x = (3 + 12x) + -2

Reorder the terms:

1 + 12x = 3 + -2 + 12x

Combine like terms: 3 + -2 = 1

1 + 12x = 1 + 12x

Add '-1' to each side of the equation.

1 + -1 + 12x = 1 + -1 + 12x

Combine like terms: 1 + -1 = 0

0 + 12x = 1 + -1 + 12x

12x = 1 + -1 + 12x

Combine like terms: 1 + -1 = 0

12x = 0 + 12x

12x = 12x

Add '-12x' to each side of the equation.

12x + -12x = 12x + -12x

Combine like terms: 12x + -12x = 0

0 = 12x + -12x

Combine like terms: 12x + -12x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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Answer:

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Step-by-step explanation:

n = smaller integer

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4n + 8 =  n - 10

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The length of a rectangular poster is 9 more inches than two times its width. The area of the poster is 161 square inches. Solve
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Answer:

<u>Width = 7 inches</u>

<u>Length = 23 inches</u>

Step-by-step explanation:

Let :

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Equating to area :

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Dimensions are :

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  • Length = 2(7) + 9
  • <u>Length = 23 inches</u>
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Step-by-step explanation:

{ \rm{slope =  \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\

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