X+2y =27 and 2x-y=19
​

x = 13 , y = 7

Step-by-step explanation:

x + 2y = 27 => x = 27 - 2y ( 1 )

2x - y = 19 ( 2 )

Substitute ( 1 ) in ( 2 ) :

                         2x - y = 19

                         2(27 - 2y) - y = 19

                         54 - 4y - y = 19

                             -5y = 19 - 54

                             -5y = -35

                                y = 7

Substitute y = 7 in ( 1 ) :

                            x = 27 - 2y

                            x = 27 - 2( 7 )

                           x = 27 - 14

                          x = 13  

step-by-step explanation:

3024 rhe base is what up in worry about

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