Use algebraic rules of equations to predict the solution type to the system of equations. include all of your work for full credit.

The system has infinite solutions

Step-by-step explanation:

For a system of two linear equations it is always true that if one equation is a linear combination of another, then the system will have infinite solutions.

Suppose we have the following system:

If there is a number n for which it is fulfilled that

Then the system has infinite solutions.

In this case the system is:

Observe that:

Then

The system has infinite 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.