Will give brainliest which equation has a graph that is parallel to the graph of 4x -2y=1? a.3x+6y=9 b.6x+3y=9 c.6x-3y=9 d.3x-6y=9

c. 6x -3y = 9

Step-by-step explanation:

The parallel line will have the x- and y-coefficients in the same ratio.

given line: 4 : -2 = -2 : 1

a: 3 : 6 = 1 : 2 . . . not it

b: 6 : 3 = 2 : 1 . . . not it

c: 6 : -3 = -2 : 1 . . . . the one you're looking for

d: 3 : -6 = -1 : 2 . . . not it

addition

step-by-step explanation:

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 .