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3 years ago

6x+19+3x-6+5x-15=180

Mathematics

2 answers:

Alinara [238K]3 years ago

5 0

Answer:

6x + 19 + 3x + -6 + 5x + -15 = 180

19 + -6 + -15 + 6x + 3x + 5x = 180

19 + -6 = 13

13 + -15 + 6x + 3x + 5x = 180

13 + -15 = -2

-2 + 6x + 3x + 5x = 180

6x + 3x = 9x

-2 + 9x + 5x = 180

9x + 5x = 14x

-2 + 14x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.

-2 + 2 + 14x = 180 + 2

-2 + 2 = 0

0 + 14x = 180 + 2

14x = 180 + 2

180 + 2 = 182

14x = 182

Divide each side by '14'.

x = 13

stich3 [128]3 years ago

3 0

6x+19+3x-6+5x-15=180

14x = 180 - 19 + 6 + 15

14x = 182

x = 182 : 14

x = 13

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$\green{\large\underline{\sf{Solution-}}}$

<u>Given expression is </u>

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$\purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\$

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$\purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\$

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<u>Hence, </u>

$\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}$

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3 years ago

6x+19+3x-6+5x-15=180​

6x+19+3x-6+5x-15=180