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lawyer [7]
3 years ago
5

16+5x=8x-5 What would the variable be?

Mathematics
1 answer:
11111nata11111 [884]3 years ago
7 0
16+5x =8x-5

Reorder the terms
16+5x = -5+8x
Solving for variable for x

Move all terms containing x to the left, all other terms to the right.
Add -8x to each side of the equation.
16+ -3x = -5 + 8x + -8x

Combine like terms: 5x + -8x=-3x
16+-3x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
16+-3x = -5 + 0
16+ -3x = -5

Add -16 to each side of the equation
16+-16 + -3x = -5 + 16

Combine like terms: 16+ -16 = 0
0 + -3x =-5 + -16
-3x = -5 + -16

combine like terms: -5 + -16 = -21
-3x = -21
Divide each side by -3
x=7


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These variable names, a1, r, are commonly used in relationship to geometric sequences. We assume you want the terms of a geometric sequence with these characteristics.

a1 is the first term. r is the ratio between terms, so is the factor to find the next term from the previous one.

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The first 5 terms are 3, -6, 12, -24, 48.

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The explicit formula for the terms of a geometric sequence is ...

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Using the given values of a1 and r, the explicit formula for this sequence is ...

  an = 3(-2)^(n -1)

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