Use the elimination-by-addition method to solve the system. $$\left( \begin{array} { c }
5 x + 6 y = - 1 \
8 x - 6 y = 92
\end{array} \right)$$
A) ( 7, 6)
B) (7, -6)
C) ( -7, -6)
D) infinitely many solutions
E) no solutions

Question

Use the elimination-by-addition method to solve the system. $$\left( \begin{array} { c } 
5 x + 6 y = - 1 \
8 x - 6 y = 92
\end{array} \right)$$
A) ( 7, 6)
B) (7, -6)
C) ( -7, -6)
D) infinitely many solutions
E) no solutions

Quizplus · Accepted Answer

Adding the two equations directly eliminates $y$, resulting in $13x = 91$, which simplifies to $x = 7$. Substituting $x = 7$ into one of the original equations allows solving for $y$, yielding $y = -6$.

Use the Elimination-By-Addition Method to Solve the System (5x+6y=−18x−6y=92)\left( \begin{array} { c } 5 x + 6 y = - 1 \\8 x - 6 y = 92\end{array} \right)(5x+6y=−18x−6y=92​)

Use the Elimination-By-Addition Method to Solve the System $\left( \begin{array} { c } 5 x + 6 y = - 1 \\8 x - 6 y = 92\end{array} \right)$