If the addition method is used to solve the following system, by what would we multiply the first equation to eliminate m ? $$\left\{ \begin{aligned}
6 m + 3 y & = 9 \
48 m - 10 & = 18
\end{aligned} \right.$$
A)2
B)8
C)-2
D)-8

Question

Quizplus · Accepted Answer

To eliminate $m$ using the addition method, we need to make the coefficients of $m$ in both equations opposites of each other. The first equation has a coefficient of $6$ for $m$, and the second equation has a coefficient of $48$ for $m$. To make these coefficients opposites, we can multiply the first equation by $-8$. This gives $-8 \times 6m = -48m$, which will cancel out the $48m$ in the second equation when added together.

If the Addition Method Is Used to Solve the Following {6m+3y=948m−10=18\left\{ \begin{aligned}6 m + 3 y & = 9 \\48 m - 10 & = 18\end{aligned} \right.{6m+3y48m−10​=9=18​

If the Addition Method Is Used to Solve the Following $\left\{ \begin{aligned}6 m + 3 y & = 9 \\48 m - 10 & = 18\end{aligned} \right.$