9 added to twice a number is the same as 27 reduced by 4 times the number

x = 12

Step-by-step explanation:

Let the number be x.

9 added to twice a number is the same as 27 reduced by 4 times the number

If we add 9 to the number = (9+x)

If 27 reduced by 4 times the number = (4x-27)

ATQ,

(9+x) = (4x-27)

Taking like terms together,

x-4x = -27-9

-3x = -36

x = 12

Hence, the number be 12.

step-by-step explanation:

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