Solve using elimination x-3y=7 and 2x-6y=12 * A (0,2)
B (2,0)
C no solution
D infinitely many solutions

Step-by-step explanation:

(x-3y=7)2

2x-6y=14

- 2x-6y=12

-12y=2

y=-1/6

No solutions

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.