1/9 (2m - 16) = 1/3 (2m + 4)

m = -7

Step-by-step explanation:

1. Multiply both sides of the equation by 9 to eliminate the fractions.

1/9 (2m - 16) = 1/3 (2m + 4)

*9                     *9

2m - 16 = 3 (2m + 4)

2. Then you're going to distribute the 3 on the right side of the equation.

2m - 16 = 6m + 12

3. Rearrange the terms.

2m - 16 = 6m + 12

      +16           +16

2m = 6m +28

-6m  -6m

-4m = 28

4. Divide both sides by -4.

-4m = 28

/-4     /-4

m = -7

m = -7 is your final answer. Hope this helped :)

2

step-by-step explanation:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.