Decide whether or not the ordered pair satisfies the system of linear equations.
-$\begin{array} { l }
\left\{ \frac { 1 } { 3 } , \frac { 1 } { 2 } \right) \
\left\{ \begin{array} { l }
2 x = 6 - y \
x - 10 y = - 8
\end{array} \right.
\end{array}$

Question

Decide whether or not the ordered pair satisfies the system of linear equations.
-$\begin{array} { l } 
\left\{ \frac { 1 } { 3 } , \frac { 1 } { 2 } \right) \
\left\{ \begin{array} { l } 
2 x = 6 - y \
x - 10 y = - 8
\end{array} \right.
\end{array}$

Quizplus · Accepted Answer

Substituting $x = \frac{1}{3}$ and $y = \frac{1}{2}$ into the equations, the first equation becomes $2(\frac{1}{3}) = 6 - \frac{1}{2}$, which simplifies to $\frac{2}{3} \neq \frac{11}{2}$, and the second equation becomes $\frac{1}{3} - 10(\frac{1}{2}) = -8$, which simplifies to $\frac{1}{3} - 5 \neq -8$. Therefore, the ordered pair does not satisfy the system of equations.

Decide Whether or Not the Ordered Pair Satisfies the System