If the system has infinitely many solutions, write the solution set with x arbitrary.
-$$\begin{array} { l }
9 x - y - 10 = 0 \
- 18 x + 2 y + 20 = 0
\end{array}$$
A) $\{ ( x , 18 x - 10 ) \}$

B) $\varnothing$

C) $\{ ( x , 9 x - 10 ) \}$

D) $\{ ( x , 10 - 9 x ) \}$

Question

If the system has infinitely many solutions, write the solution set with x arbitrary.
-$$\begin{array} { l } 
9 x - y - 10 = 0 \
- 18 x + 2 y + 20 = 0
\end{array}$$
A) $\{ ( x , 18 x - 10 ) \}$

B) $\varnothing$

C) $\{ ( x , 9 x - 10 ) \}$

D) $\{ ( x , 10 - 9 x ) \}$

Quizplus · Accepted Answer

The second equation is a multiple of the first, indicating they are dependent and have infinitely many solutions. Solving the first equation for y gives $y = 9x - 10$.

If the System Has Infinitely Many Solutions, Write the Solution 9x−y−10=0−18x+2y+20=0\begin{array} { l } 9 x - y - 10 = 0 \\- 18 x + 2 y + 20 = 0\end{array}9x−y−10=0−18x+2y+20=0​

If the System Has Infinitely Many Solutions, Write the Solution $\begin{array} { l } 9 x - y - 10 = 0 \\- 18 x + 2 y + 20 = 0\end{array}$