If the system has infinitely many solutions, write the solution set with x arbitrary.
-$$\begin{array} { l }
7 x - 6 y = 1 \
- 14 x + 12 y = 1
\end{array}$$
A) $\left\{ \left( x , \frac { 1 } { 8 } x \right) \right\}$

B) $\left\{ \left\{ x , \frac { 1 } { 3 } + \frac { 7 } { 6 } x \right) \right\}$

C) $\varnothing$

D) $\left\{ \left\{ - \frac { 1 } { 8 } , \frac { 5 } { 16 } \right) \right\}$

Question

If the system has infinitely many solutions, write the solution set with x arbitrary.
-$$\begin{array} { l } 
7 x - 6 y = 1 \
- 14 x + 12 y = 1
\end{array}$$
A) $\left\{ \left( x , \frac { 1 } { 8 } x \right) \right\}$

B) $\left\{ \left\{ x , \frac { 1 } { 3 } + \frac { 7 } { 6 } x \right) \right\}$

C) $\varnothing$

D) $\left\{ \left\{ - \frac { 1 } { 8 } , \frac { 5 } { 16 } \right) \right\}$

Quizplus · Accepted Answer

The second equation is a multiple of the first (multiplied by -2), but the right-hand side does not match the pattern (1 is not -2 times 1), indicating the system is inconsistent and has no solution.

If the System Has Infinitely Many Solutions, Write the Solution 7x−6y=1−14x+12y=1\begin{array} { l } 7 x - 6 y = 1 \\- 14 x + 12 y = 1\end{array}7x−6y=1−14x+12y=1​

If the System Has Infinitely Many Solutions, Write the Solution $\begin{array} { l } 7 x - 6 y = 1 \\- 14 x + 12 y = 1\end{array}$