How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solution
D) infinitely many solutions

Graph the linear system and tell how many solutions it has. If there is exactly one solution, give the solution 4X-5Y=2 8X+Y=4 Step 1. Graphing the above linear system of equations yields the following Step 2. Based on the above graph the intersection point is (0.5, 0) or x=0.5 and y=0.

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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.