Is $( 5,3 )$ a solution of the following system? $\left\{ \begin{array} { l }
5 x - 3 y = 16 \
2 x + 3 y = 19
\end{array} \right.$

Question

Is $( 5,3 )$ a solution of the following system? $\left\{ \begin{array} { l } 
5 x - 3 y = 16 \
2 x + 3 y = 19
\end{array} \right.$

Quizplus · Accepted Answer

Substituting the values of x and y from the point (5,3) into the given system of equations:
For the first equation, 
5(5) - 3(3) = 16 => 25 - 9 = 16 => 16 = 16
This is true.
For the second equation,
2(5) + 3(3) = 19 => 10 + 9 = 19 => 19 = 19
This is also true.
Hence, the point (5,3) satisfies both the equations of the given system, and therefore is a solution.

Is (5,3)( 5,3 )(5,3) A Solution of the Following System {5x−3y=162x+3y=19\left\{ \begin{array} { l } 5 x - 3 y = 16 \\2 x + 3 y = 19\end{array} \right.{5x−3y=162x+3y=19​

Is $( 5,3 )$ A Solution of the Following System $\left\{ \begin{array} { l } 5 x - 3 y = 16 \\2 x + 3 y = 19\end{array} \right.$