Solve the equation 1/4 (x+2)+5=-x

x = 6

Step-by-step explanation:

1/4 (x-2) + 5 = x

1/4 (x-2) = x - 5

x - 2 = 4(x-5)

x-2 = 4*x + 4*-5

x-2 = 4x - 20

x - 4x = 2 - 20

-3x = -18

x = -18/-3

x = 6

Check:

1/4(6-2) + 5 = 6

1/4(4) + 5 = 6

1 + 5 = 6

36/60

36/2=18

60/2=30

18/30

18/3=6

30/3=10

6/10

6/2=3

10/2=5

your final answer would be 3/5 of an

hope this !

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.