Write the word or phrase that best completes each statement or answers the question.
-9x - 7y = 9
27x - 21y = 18
A) (3, 2)
B) (9, 18)
C) $\left( \frac { 3 } { 4 } , - \frac { 27 } { 28 } \right)$
D) $\text { Inconsistent, } \varnothing$

Question

Write the word or phrase that best completes each statement or answers the question.
-9x - 7y = 9
27x - 21y = 18
A) (3, 2) 
B) (9, 18)
C) $\left( \frac { 3 } { 4 } , - \frac { 27 } { 28 } \right)$
D) $\text { Inconsistent, } \varnothing$

Quizplus · Accepted Answer

The system is inconsistent because when the first equation is multiplied by 3, it becomes identical to the second equation in terms of the ratio of coefficients for x and y, but not in the constant term, indicating parallel lines with no intersection.

Write the Word or Phrase That Best Completes Each Statement (34,−2728)\left( \frac { 3 } { 4 } , - \frac { 27 } { 28 } \right)(43​,−2827​)

Write the Word or Phrase That Best Completes Each Statement $\left( \frac { 3 } { 4 } , - \frac { 27 } { 28 } \right)$