Determine which point is the solution to the given system.
-$$\begin{array} { l }
y = - 2 x + 6 \
y = 2 x - 18
\end{array}$$
A) $( - 8,22 )$
B) $( 8 , - 10 )$
C) $( 6 , - 6 )$
D) $( 2,2 )$

Question

Determine which point is the solution to the given system.
-$$\begin{array} { l } 
y = - 2 x + 6 \
y = 2 x - 18
\end{array}$$
A) $( - 8,22 )$
B) $( 8 , - 10 )$
C) $( 6 , - 6 )$
D) $( 2,2 )$

Quizplus · Accepted Answer

To find the solution, set the equations equal: $-2x + 6 = 2x - 18$. Solving gives $x = 6$. Substitute $x = 6$ into either equation to find $y = -6$. Thus, the solution is $(6, -6)$.

Determine Which Point Is the Solution to the Given System y=−2x+6y=2x−18\begin{array} { l } y = - 2 x + 6 \\y = 2 x - 18\end{array}y=−2x+6y=2x−18​

Determine Which Point Is the Solution to the Given System $\begin{array} { l } y = - 2 x + 6 \\y = 2 x - 18\end{array}$