Solve the linear equation.

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

a. {-27/11}

b. {-9/11}

c. {-45/11}

d. {-63/11}

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

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

x = - 9/11

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

35/11 = 35/11

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

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