State whether the system is consistent and independent, consistent and dependent or inconsistent.

x + 3y = 18

-x + 2y = 7

a.

consistent and independent

c.

inconsistent

b.

consistent and dependent

That looks like a regular system, consistent and independent.  Let's check.

x + 3y = 18

-x + 2y = 7

adding,

5y = 25

y = 5

x = 18-3y = 3

The lines meet at a single point, so the system is consistent and independent.

choice a

the answer to the question is a

step-by-step explanation:

it has the same slope and the same y-intercept.

y + 11 = -7/9(x - 18)

y + 11 =-7/9x + 14

b

y = -7/9x + 3

y-intercept (0, 3)