Solve the system of equations by the addition method.
-$\left\{ \begin{array} { l }
5 x + y = - 18 \
6 x - y = 7
\end{array} \right.$
A)(-1, -13)
B)(-13, -1)
C)infinite number of solutions
D)no solution

Question

Solve the system of equations by the addition method.
-$\left\{ \begin{array} { l } 
5 x + y = - 18 \
6 x - y = 7
\end{array} \right.$
A)(-1, -13)
B)(-13, -1)
C)infinite number of solutions
D)no solution

Quizplus · Accepted Answer

Adding the two equations directly cancels out $y$, leading to $11x = -11$, which simplifies to $x = -1$. Substituting $x = -1$ into the first equation gives $5(-1) + y = -18$, so $y = -13$. Therefore, the solution is $(-1, -13)$.

Solve the System of Equations by the Addition Method {5x+y=−186x−y=7\left\{ \begin{array} { l } 5 x + y = - 18 \\6 x - y = 7\end{array} \right.{5x+y=−186x−y=7​

Solve the System of Equations by the Addition Method $\left\{ \begin{array} { l } 5 x + y = - 18 \\6 x - y = 7\end{array} \right.$