Solve the system by the addition method. $$\begin{array} { l }
- 5 x - 9 y = 28 \
- 4 x + 5 y = - 2
\end{array}$$
A) $( - 2 , - 2 )$
B) $( 7 , - 7 )$
C) $( - 7 , - 6 )$
D) $( - 11,3 )$

Question

Solve the system by the addition method. $$\begin{array} { l } 
- 5 x - 9 y = 28 \
- 4 x + 5 y = - 2
\end{array}$$
A) $( - 2 , - 2 )$
B) $( 7 , - 7 )$
C) $( - 7 , - 6 )$
D) $( - 11,3 )$

Quizplus · Accepted Answer

-5x - 9y = 28-4x + 5y = -2Multiply the second equation by 9 and the first equation by 5.-45x - 81y = 252-20x + 25y = -10Add the two equations.-65x - 56y = 242Divide both sides by -11.x = 2Substitute x = 2 into the first equation.-5(2) - 9y = 28-10 - 9y = 28-9y = 38y = -4The solution is (2, -4).

Solve the System by the Addition Method −5x−9y=28−4x+5y=−2\begin{array} { l } - 5 x - 9 y = 28 \\- 4 x + 5 y = - 2\end{array}−5x−9y=28−4x+5y=−2​

Solve the System by the Addition Method $\begin{array} { l } - 5 x - 9 y = 28 \\- 4 x + 5 y = - 2\end{array}$