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Instructions
Each fraction answer must be in the simplest form and typed like, 4/5 no spaces between the fraction bar and the numbers.

A= 1  ; B = 3/4 ; C =1/4; D = 1/2 ; E =7/12

F = 1/12  ; G = 2/3;   H = 1/3 ; I = 1/6

Step-by-step explanation:

D = 2C

A +D = 3/2    {Plug in D =2C}

A + 2C = 3/2

A = 3/2 - 2C

C + B =1

B = 1- C

A = B + C     {Plug in A = 3/2 - 2C & B = 1 - C }

3/2 - 2C = 1 - C + C

3/2 - 2C = 1

-2C = 1-3/2

-2C = -1/2

C = -1/2*-2

C = 1/4

From the value of C, we can get  D= 1/2 ; B = 3/4 & A =1

A +D + G = 13/6

3/2 + G = 13/6

G = 13/6 - 3/2

G = (13- 9)/6

G = 4/6

G = 2/3

H = (1/2)G = (1/2) * (2/3)

H = 1/3

I = (1/2)H = (1/2)*(1/3)

I = 1/6

F = C - I

F = (1/4) - (1/6)

= (6-4)/24

 = 2/24

F = 1/12

E =D +F

 = (1/2) + (1/12)

 = (6+1)/12

F = 7/12

27 + 13x + 15 = (x + 5)( =

step-by-step explanation:

27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( =

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .