Use the addition method to solve the system. If the equations of the system are dependent, or if a system is inconsistent, so indicate. $$\left\{ \begin{array} { l }
2 ( x - 4 ) = 8 y \
4 ( 2 y + 2 ) = 2 x
\end{array} \right.$$
A) $( 1 , - 3 )$
B) $( 2,2 )$
C) $( - 6,1 )$
D)The equations are dependent.
E)The system is inconsistent.

Question

Use the addition method to solve the system. If the equations of the system are dependent, or if a system is inconsistent, so indicate. $$\left\{ \begin{array} { l } 
2 ( x - 4 ) = 8 y \
4 ( 2 y + 2 ) = 2 x
\end{array} \right.$$
A) $( 1 , - 3 )$
B) $( 2,2 )$
C) $( - 6,1 )$
D)The equations are dependent.
E)The system is inconsistent.

Quizplus · Accepted Answer

First, simplify both equations: 1) $2(x - 4) = 8y$ becomes $2x - 8 = 8y$, or $2x - 8y = 8$.2) $4(2y + 2) = 2x$ becomes $8y + 8 = 2x$, or $2x - 8y = 8$.Both equations simplify to the same equation, indicating that they are dependent.

Use the Addition Method to Solve the System {2(x−4)=8y4(2y+2)=2x\left\{ \begin{array} { l } 2 ( x - 4 ) = 8 y \\4 ( 2 y + 2 ) = 2 x\end{array} \right.{2(x−4)=8y4(2y+2)=2x​

Use the Addition Method to Solve the System $\left\{ \begin{array} { l } 2 ( x - 4 ) = 8 y \\4 ( 2 y + 2 ) = 2 x\end{array} \right.$