3x+2y=1

x+y=8

Solve for x and y. the equations correspond

3x + 2y = 1 1

x+y=82

x=8 - y 3

subs 3 into 1

3(8-y) + 2y=1

24-3y + 2y = 1

24-y = 1

-y= 1-24

-y= -23

y= 23

i do not know this sorry : (

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.