missayako
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Which of the following equations has the same solution as 5 x + 8 = x − 9?
A) 4 x = −1
B) 4 x = 17
C) 6 x = −17
D) 6 x = 17
E) 4 x = −17

Please give me a explanation! Willing to give a Brainliest.

Respuesta :

lilrubik
So, let’s start with solving the first equation. Merge x’s, 4x+8=-9, then subtract the 8 for 4x=-17. Now, with that short and simple equation solving process, we’ve already solved the question to get an answer of E! Comment if you have any further questions.

[tex]4x=-17[/tex] has the same solution as  [tex]5x+8=x-9[/tex]

Option (E) is correct

What is Equation?

"An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =."

We have,

[tex]5x+8=x-9[/tex]

By solving the given equation

⇒[tex]5x-x=-9-8[/tex]

⇒[tex]4x=-17[/tex]

Clearly, Option (E) is correct

⇒[tex]x=\frac{-17}{4}[/tex]

Explanation for other options:

(A) [tex]4x=-1[/tex]

⇒[tex]x=\frac{-1}{4}[/tex]

(B) [tex]4x=17[/tex]

⇒[tex]x=\frac{17}{4}[/tex]

(C) [tex]6x=-17[/tex]

⇒[tex]x=\frac{-17}{6}[/tex]

(D) [tex]6x=17[/tex]

⇒[tex]x=\frac{17}{6}[/tex]

∴ [tex]4x=-17[/tex] has the same solution as [tex]5x+8=x-9[/tex]

Learn more about equation here

https://brainly.com/question/19549156

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