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3 years ago

If 24 - 2x = 19 + 3x, then x =

Mathematics

2 answers:

PilotLPTM [1.2K]3 years ago

8 0

Answer:

1 =x

Step-by-step explanation:

24 - 2x = 19 + 3x

Add 2x to each side

24 - 2x+2x = 19 + 3x+2x

24 = 19 +5x

Subtract 19 from each side

24-19 =19+5x-19

5 = 5x

Divide by 5

5/5 = 5x/5

1 =x

Kipish [7]3 years ago

5 0

$\longrightarrow{\green{ \: x = 1 }}$

$\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}$

$24 - 2x = 19 + 3x$

Combine like terms,

➺ $\: 3x + 2x = 24 - 19$

➺ $\: 5x = 5$

➺ $\: x = \frac{5}{5}$

➺ $\: x = 1$

$\sf \bf {\boxed {\mathbb {To\:verify:}}}$

➼ $24 - 2 \times 1 = 1 9+ 3 \times 1$

➼ $\: 24 - 2 = 19 + 3$

➼ $\: 22 = 22$

➼ $\: L.H.S.=R. H. S$

Hence verified.

$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}$

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kirza4 [7]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2822772

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Evaluate the indefinite integral:

$\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx}\\\\\\
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Make the following substitution:

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and then, the integral (i) becomes

$=\mathsf{\displaystyle\int\! \frac{1}{u^2}\,du}\\\\\\
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Integrate it by applying the power rule:

$\mathsf{=\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\
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Now, substitute back for u = sin x, so the result is given in terms of x:

$\mathsf{=-\,\dfrac{1}{sin\,x}+C}\\\\\\
\mathsf{=-\,csc\,x+C}$

$\therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx=-\,csc\,x+C} \end{array}}\qquad\quad\checkmark$

I hope this helps. =)

Tags: indefinite integral substitution trigonometric trig function sine cosine cosecant sin cos csc differential integral calculus

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Step-by-step explanation:

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