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Otrada [13]
3 years ago
5

Solve the linear equation.

Mathematics
2 answers:
I am Lyosha [343]3 years ago
5 0
The answer is B

-2x-27/9 = x+4

Multiply both sides by 9 & then simplify

-2x+26=9x+36

Move all terms not containing (x) to the left side

-11x+27=36

-11x=9

Divide each term by 11

X= -9/11
valentinak56 [21]3 years ago
4 0

Answer:

<u>The correct answer is B. {-9/11}</u>

Step-by-step explanation:

1. Let's solve the linear equation:

x-6/-3 + x+9/9 = x+4

-3(x - 6) + x + 9 = 9 (x + 4) (Multiplying by 9 at both sides)

-3x + 18 + x + 9 = 9x + 36

-3x + x - 9x = 36 - 18 - 9 (Like terms)

-12x + x = 36 - 27

-11x = 9

<u>x = -9/11</u>

2. Let's prove that x = -9/11 is correct

x-6/-3 + x+9/9 = x+4

(-9/11 - 6)/-3 + (-9/11 + 9)/9 = -9/11 + 4

(-75/11 * - 1/3) + (90/11 * 1/9) = -9/11 + 44/11

25/11 + 10/11 = 35/11

<u>35/11 = 35/11</u>

<u>We proved that x = -9/11 is correct.</u>

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