Solve the system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set
notation to express the solution set.
-$$\left\{ \begin{array} { l }
- 5 x + 4 y = - 6 \
8 y = - 12 + 10 x
\end{array} \right.$$
A) $\{ ( 0,0 ) \}$
B) $\{ ( - 5,4 ) \}$
C) no solution; $\varnothing$
D) infinitely many solutions; $\{ ( x , y ) \mid - 5 x + 4 y = - 6 \}$ or $\{ ( x , y ) \mid 8 y = - 12 + 10 x \}$

Question

Solve the system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set
notation to express the solution set.
-$$\left\{ \begin{array} { l } 
- 5 x + 4 y = - 6 \
8 y = - 12 + 10 x
\end{array} \right.$$
A) $\{ ( 0,0 ) \}$
B) $\{ ( - 5,4 ) \}$
C) no solution; $\varnothing$
D) infinitely many solutions; $\{ ( x , y ) \mid - 5 x + 4 y = - 6 \}$ or $\{ ( x , y ) \mid 8 y = - 12 + 10 x \}$

Quizplus · Accepted Answer

The two equations are equivalent, meaning they represent the same line. Therefore, there are infinitely many solutions, which can be expressed as either equation.

Solve the System by the Addition Method {−5x+4y=−68y=−12+10x\left\{ \begin{array} { l } - 5 x + 4 y = - 6 \\8 y = - 12 + 10 x\end{array} \right.{−5x+4y=−68y=−12+10x​

Solve the System by the Addition Method $\left\{ \begin{array} { l } - 5 x + 4 y = - 6 \\8 y = - 12 + 10 x\end{array} \right.$