Tell whether the ordered pair (4,-5) is a solution of the system of equations. $\left\{ \begin{array} { l }
y + 4 = \frac { 1 } { 4 } x \
5 x + 4 y = 0
\end{array} \right.$
A) no
B) yes

Question

Tell whether the ordered pair (4,-5) is a solution of the system of equations. $\left\{ \begin{array} { l } 
y + 4 = \frac { 1 } { 4 } x \
5 x + 4 y = 0
\end{array} \right.$
A) no
B) yes

Quizplus · Accepted Answer

To determine if the ordered pair (4,-5) is a solution, substitute x=4 and y=-5 into both equations. For the first equation, y + 4 = 1/4x becomes -5 + 4 = 1/4(4), which simplifies to -1 = 1, which is false. For the second equation, 5x + 4y = 0 becomes 5(4) + 4(-5) = 20 - 20 = 0, which is true. Since the ordered pair does not satisfy both equations simultaneously, it is not a solution to the system of equations.

Tell Whether the Ordered Pair (4,-5) Is a Solution of the System