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.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?