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

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