For the following pair of lines, identify the system by type. consistent equivalent inconsistent

we know that

If a system has exactly one solution, it is a consistent independent system.

If a system has an infinite number of solutions, it is a consistent dependent system .

If a system has no solution, it is said to be inconsistent

In this problem the system of linear equations has one solution

therefore

the answer is

consistent

they can both be solutions depends on the equation

step-by-step explanation:

what is the equation? ?

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional