Decide which of the given ordered pairs is a solution of the given system of equations. $$\left( \begin{array} { l }
y = - 3 x \
y - 3 x = 0
\end{array} \right)$$
A) ( 1, -2 )
B) ( 2, 0 )
C) ( 2, -6 )
D) ( 0, 0 )
E) infinitely many

Question

Decide which of the given ordered pairs is a solution of the given system of equations. $$\left( \begin{array} { l } 
y = - 3 x \
y - 3 x = 0
\end{array} \right)$$
A) ( 1, -2 )
B) ( 2, 0 )
C) ( 2, -6 )
D) ( 0, 0 )
E) infinitely many

Quizplus · Accepted Answer

Substituting the first ordered pair (1,-2) into the system of equations yields:
$$ \left( \begin{array}{l} -2 = -3(1) \ -2-3(1) = 0 \end{array} \right) $$
which is true for both equations. Therefore, (1,-2) is a solution for the system.

Substituting the other ordered pairs into the system will result in at least one false statement, eliminating them as solutions. The system has a unique solution, so there is no possibility for infinitely many solutions.

Decide Which of the Given Ordered Pairs Is a Solution (y=−3xy−3x=0)\left( \begin{array} { l } y = - 3 x \\y - 3 x = 0\end{array} \right)(y=−3xy−3x=0​)

Decide Which of the Given Ordered Pairs Is a Solution $\left( \begin{array} { l } y = - 3 x \\y - 3 x = 0\end{array} \right)$