Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l }
x + y = 2 \
x - y = 6
\end{array} \right)$
A) (6, -4)
B) (-4, -2)
C) (4, -2)

Question

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } 
x + y = 2 \
x - y = 6
\end{array} \right)$
A) (6, -4)
B) (-4, -2)
C) (4, -2)

Quizplus · Accepted Answer

To check if an ordered pair is a solution of a system of equations, we substitute the values in the equations and see if they are true.

Substituting (4,-2) in the given equations, 
x + y = 2 becomes 4 + (-2) = 2
which is true.

x - y = 6 becomes 4 - (-2) = 6 
which is again true.

Hence, (4,-2) is a solution of the given system of equations.

Decide Which of the Given Ordered Pairs Is a Solution (x+y=2x−y=6)\left( \begin{array} { l } x + y = 2 \\x - y = 6\end{array} \right)(x+y=2x−y=6​)

Decide Which of the Given Ordered Pairs Is a Solution $\left( \begin{array} { l } x + y = 2 \\x - y = 6\end{array} \right)$