Solve the system.
-$$\left\{ \begin{aligned}
8 x + y & = 2 \
- 24 x - 3 y & = - 6
\end{aligned} \right.$$
A) inconsistent (no solution)
B) $y = 8 x + 6$, where $x$ is any real number
C) $y = - 8 x + 2$, where $x$ is any real number
D) $x = - 8 y + 2$, where $y$ is any real number

Question

Quizplus · Accepted Answer

The second equation is a multiple of the first, indicating they are the same line. Solving the first equation for $y$ gives $y = -8x + 2$, meaning $x$ can be any real number.

Solve the System {8x+y=2−24x−3y=−6\left\{ \begin{aligned}8 x + y & = 2 \\- 24 x - 3 y & = - 6\end{aligned} \right.{8x+y−24x−3y​=2=−6​

Solve the System $\left\{ \begin{aligned}8 x + y & = 2 \\- 24 x - 3 y & = - 6\end{aligned} \right.$