Solve: 1/2x - 7 = 1/3 (x-12)

x=18

Step-by-step explanation:

1/2x-7=1/3(x-12)

First, distribute.

1/2x-7=1/3x-4

Subtract 1/3x from both sides

1/6x-7=-4

Add 7 to both sides

1/6x=3

Multiply by 6 on both sides.

x=18

Hope this helps!

#Team Rainbows

step-by-step explanation:

b and c

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is