Solve the system of equations using the addition method.
-$$\begin{array} { l }
5 x + 6 y = - 7 \
- 5 x - 13 y = 21
\end{array}$$
A)(5, 2)
B)(1, -2)
C)(-1, 2)
D)(-5, -2)

Question

Solve the system of equations using the addition method.
-$$\begin{array} { l } 
5 x + 6 y = - 7 \
- 5 x - 13 y = 21
\end{array}$$
A)(5, 2)
B)(1, -2)
C)(-1, 2)
D)(-5, -2)

Quizplus · Accepted Answer

By adding the two equations, the $5x$ and $-5x$ terms cancel out, resulting in $-7y = 14$. Solving for $y$ gives $y = -2$. Substituting $y = -2$ into the first equation, $5x + 6(-2) = -7$, simplifies to $5x - 12 = -7$, which gives $5x = 5$, so $x = 1$. Thus, the solution is $(1, -2)$.

Solve the System of Equations Using the Addition Method 5x+6y=−7−5x−13y=21\begin{array} { l } 5 x + 6 y = - 7 \\- 5 x - 13 y = 21\end{array}5x+6y=−7−5x−13y=21​

Solve the System of Equations Using the Addition Method $\begin{array} { l } 5 x + 6 y = - 7 \\- 5 x - 13 y = 21\end{array}$