asheikh6784
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Sagot :

mhanifa

Answer:

  • -18

Step-by-step explanation:

  • 2(4 - 1/3u) = - u + 2
  • 8 - 2/3u = - u + 2
  • u - 2/3u = 2 - 8
  • 1/3u = -6
  • u = -6*3
  • u = -18
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[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

  • [tex] \sf2 \left( 4- \frac{ 1 }{ 3 } u \right) = -u+2[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf \: 2 \left( 4- \frac{ 1 }{ 3 } u \right) = -u+2[/tex]

Use the distributive property to multiply 2 by [tex]\sf 4-\frac{1}{3}u[/tex].

[tex] \sf \: 8+2\left(-\frac{1}{3}\right)u=-u+2 [/tex]

Express [tex]\sf2\left(-\frac{1}{3}\right)[/tex] as a single fraction.

[tex] \sf \: 8+\frac{2\left(-1\right)}{3}u=-u+2 [/tex]

Multiply 2 and -1 to get -2.

[tex] \sf \: 8+\frac{-2}{3}u=-u+2 [/tex]

Add u to both sides.

[tex] \sf \: 8-\frac{2}{3}u+u=2 [/tex]

Combine [tex]\sf-\frac{2}{3}u[/tex] and u to get [tex]\sf\frac{1}{3}u[/tex].

[tex] \sf \: 8+\frac{1}{3}u=2 [/tex]

Subtract 8 from both sides.

[tex] \sf\frac{1}{3}u=2-8 [/tex]

Subtract 8 from 2 to get -6.

[tex] \sf\frac{1}{3}u=-6 [/tex]

Multiply both sides by 3, which is the reciprocal of 1/3.

[tex] \sf \: u=-6\times 3 [/tex]

Multiply -6 and 3 to get -18.

[tex] \boxed{ \boxed{\bf \: u=-18 }}[/tex]

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