Decide whether the system { 3 x − 6 y = 6 − 12 x + 24 y = − 24 \left\{ \begin{array} { c } 3 x - 6 y = 6 \- 12 x + 24 y = - 24\end{array} ight. { 3 x − 6 y = 6 − 12 x + 24 y = − 24 is consistent or inconsistent.A) inconsistentB) consistent

Question

Decide whether the system   { 3 x − 6 y = 6 − 12 x + 24 y = − 24 \left\{ \begin{array} { c } 3 x - 6 y = 6 \- 12 x + 24 y = - 24\end{array} ight. { 3 x − 6 y = 6 − 12 x + 24 y = − 24 ​   is consistent or inconsistent.A) inconsistentB) consistent

Jasmin Nunez · Accepted Answer

Final Answer : B, Explanation :  This system is consistent because the second equation is just the first equation multiplied by -4. Therefore, the two equations are really just stating the same thing and are not independent. This means that the system has infinitely many solutions, which makes it consistent.

Decide whether the system ${3x−6y=6−12x+24y=−24\left\{ \begin{array} { c } 3 x - 6 y = 6 \\- 12 x + 24 y = - 24\end{array} \right.$ is consistent or inconsistent.

A) inconsistent
B) consistent

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Learning Objectives

Related questions

Decide whether the system {3x−6y=6−12x+24y=−24\left\{ \begin{array} { c } 3 x - 6 y = 6 \\- 12 x + 24 y = - 24\end{array} \right.{3x−6y=6−12x+24y=−24​ is consistent or inconsistent.A) inconsistentB) consistent

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Learning Objectives

Learning Objectives

Related questions

Decide whether the system ${3x−6y=6−12x+24y=−24\left\{ \begin{array} { c } 3 x - 6 y = 6 \\- 12 x + 24 y = - 24\end{array} \right.$ is consistent or inconsistent.

A) inconsistent
B) consistent