Solve using the elimination method.
-$6 x+5 y=2$
$8 x-5 y=96$
A) $(-8,7)$
B) $(-7,-8)$
C) $(7,-8)$
D) $(8,7)$

Question

Quizplus · Accepted Answer

Adding the two equations $6x + 5y = 2$ and $8x - 5y = 96$ eliminates $y$, resulting in $14x = 98$, which simplifies to $x = 7$. Substituting $x = 7$ into one of the original equations, for example, $6x + 5y = 2$, gives $42 + 5y = 2$, leading to $5y = -40$, and thus $y = -8$. Therefore, the solution is $x = 7$, $y = -8$, which corresponds to choice C $(7, -8)$.

Solve Using the Elimination Method 6x+5y=26 x+5 y=26x+5y=2 8x−5y=968 x-5 y=968x−5y=96

Solve Using the Elimination Method $6 x+5 y=2$ $8 x-5 y=96$