Respuesta :

MarkV
Hi there!

Let's solve this equation step by step!
[tex] |5x + 2| = 8[/tex]

First work out the absolute value, which makes everything between the stripes positive. When we have a negative outcome between the stripes (for instance -8), the stripes make it positive. When we work out the absolute value, we mustn't forget this solution.

[tex]5x + 2 = 8 \: \: or \: \: 5x + 2 = - 8[/tex]
Subtract 2

[tex]5x = 6 \: \: or \: \: 5x = - 10 [/tex]
Divide both sides by 5.

[tex]x = \frac{ 6}{5} = 1 \frac{1}{5}\: \: or \: \: x = -2 [/tex]
~ Hope this helps you!
VictorZ
Hi there!

| 5x + [tex]2[/tex] | = 8

• Absolute Value :-

The Absolute Value or Modulus | X | of a real number x is the non-negative value of x without regard to its sign.

Which makes the above Eqn's right hand side + ve in both cases.

Then,
Isolatin' the Absolute Value :-

→ For + ve value :

=> 5x + 2 = 8

=> 5x = 8 - 2

=> 5x = 6

=> x = [tex]\dfrac {6}{5}[/tex]

→ For - ve value :

=> 5x + 2 = -8

=> 5x = - 8 - 2

=> 5x = - 10

=> x = [tex]\dfrac {- 10}{5}[/tex] = -2

Hence,
Solution for the Eqn. are :-

=> x = -2 Or => x = [tex]\dfrac {6}{5}[/tex]

~ Hope it helps!

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