Solve, using the substitution method.

y + 2x = 7
14 – 4x = 2y

a.

the solution is (1, 5)

b.

the solution is (21, 0)

c.

there are an infinite number of solutions.

d.

there is no solution.

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.

i think the answer is b.

step-by-step explanation:

not 100% sure though.