Solve:
2x + 3y = 12
6x - y = 4

1.) 2x + 3y =12

3y = 12 - 2x

y = 4 - 2/3x

y = -2/3x + 12

2.) 6x - y = 4

-y = 4 - 6x

y = -4 + 6x

y= 6x - 4

these are all in y/ slope-intercept form, if you needed x-intercept form pls fell free to tell me.

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.