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.
-$$\left\{ \begin{array} { l }
x + y = 8 \
x + y = 4
\end{array} \right.$$
A) $\{ ( 8,4 ) \}$
B) no solution; $\varnothing$
C) $\{ ( 0,0 ) \}$
D) $\{ ( 0,12 ) \}$

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.
-$$\left\{ \begin{array} { l } 
x + y = 8 \
x + y = 4
\end{array} \right.$$
A) $\{ ( 8,4 ) \}$
B) no solution; $\varnothing$
C) $\{ ( 0,0 ) \}$
D) $\{ ( 0,12 ) \}$

Quizplus · Accepted Answer

The two equations are parallel lines (same slope, different y-intercepts), meaning they never intersect, resulting in no solution.

Solve the System by the Addition Method {x+y=8x+y=4\left\{ \begin{array} { l } x + y = 8 \\x + y = 4\end{array} \right.{x+y=8x+y=4​

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