Decide which of the given ordered pairs is a solution of the given system of equations. $$\left( \begin{array} { l }
3 x + 2 y = 7 \
5 x - y = 29
\end{array} \right)$$
A) (-5, -4)
B) (5, -4)
C) (7, -8)

Question

Decide which of the given ordered pairs is a solution of the given system of equations. $$\left( \begin{array} { l } 
3 x + 2 y = 7 \
5 x - y = 29
\end{array} \right)$$
A) (-5, -4)
B) (5, -4)
C) (7, -8)

Quizplus · Accepted Answer

Plug in the first ordered pair, (-5,-4), into the system of equations:
$$\left( \begin{array} { l } 
3(-5) + 2(-4) = -15-8=-23\neq 7\
5(-5)-(-4) =-25+4=-21\neq 29
\end{array} \right)$$
Therefore, (-5,-4) is not a solution to the system.
Similarly, for (7,-8):
$$\left( \begin{array} { l } 
3(7) + 2(-8) = 21-16=5\neq 7\
5(7)-(-8) =35+8=43 \neq 29
\end{array} \right)$$
Therefore, (7,-8) is also not a solution to the system.
However, for (5,-4):
$$\left( \begin{array} { l } 
3(5) + 2(-4) = 15-8=7\
5(5)-(-4) =25+4=29
\end{array} \right)$$
Therefore, (5,-4) is a solution to the system.

Decide Which of the Given Ordered Pairs Is a Solution (3x+2y=75x−y=29)\left( \begin{array} { l } 3 x + 2 y = 7 \\5 x - y = 29\end{array} \right)(3x+2y=75x−y=29​)

Decide Which of the Given Ordered Pairs Is a Solution $\left( \begin{array} { l } 3 x + 2 y = 7 \\5 x - y = 29\end{array} \right)$