Solve the system of equations by the addition method.
-$\left\{ \begin{array} { l }
9 x - 2 y = - 1 \
9 x - 2 y = 4
\end{array} \right.$
A) $( - 1,4 )$
B) $( 9,2 )$
C) no solution
D) $\left( - \frac { 1 } { 2 } , \frac { 4 } { 9 } \right)$

Question

Solve the system of equations by the addition method.
-$\left\{ \begin{array} { l } 
9 x - 2 y = - 1 \
9 x - 2 y = 4
\end{array} \right.$
A) $( - 1,4 )$
B) $( 9,2 )$
C) no solution
D) $\left( - \frac { 1 } { 2 } , \frac { 4 } { 9 } \right)$

Quizplus · Accepted Answer

The two equations are parallel (same coefficients for x and y) but have different constants on the right side (-1 and 4), meaning they never intersect. This results in no solution.

Solve the System of Equations by the Addition Method {9x−2y=−19x−2y=4\left\{ \begin{array} { l } 9 x - 2 y = - 1 \\9 x - 2 y = 4\end{array} \right.{9x−2y=−19x−2y=4​

Solve the System of Equations by the Addition Method $\left\{ \begin{array} { l } 9 x - 2 y = - 1 \\9 x - 2 y = 4\end{array} \right.$