Use any method to solve the system of linear equations, find (x,y). $\left\{ \begin{array} { c }
4 x - 5 y = 13 \
5 x + y = 9
\end{array} \right.$
A) (-1, -2)
B)(-1, 2)
C) (-2, -1)
D) (2, 5)
E) (2, -1)

Question

Use any method to solve the system of linear equations, find (x,y).  $\left\{ \begin{array} { c } 
4 x - 5 y = 13 \
5 x + y = 9
\end{array} \right.$  
A) (-1, -2)
B)(-1, 2)
C) (-2, -1)
D) (2, 5)
E) (2, -1)

Quizplus · Accepted Answer

To solve the system of equations, we can use the method of substitution or elimination. Here, we'll use elimination for simplicity:Given:1) $4x - 5y = 13$2) $5x + y = 9$First, we can make the coefficients of $y$ in both equations equal (in absolute value) by multiplying the second equation by 5:1) $4x - 5y = 13$2) $25x + 5y = 45$Adding both equations to eliminate $y$:$4x + 25x = 13 + 45$$29x = 58$$x = 2$Substitute $x = 2$ into one of the original equations to find $y$. Using the second equation:$5(2) + y = 9$$10 + y = 9$$y = -1$Therefore, the solution is $x = 2$, $y = -1$, which corresponds to choice E.

Use Any Method to Solve the System of Linear Equations {4x−5y=135x+y=9\left\{ \begin{array} { c } 4 x - 5 y = 13 \\5 x + y = 9\end{array} \right.{4x−5y=135x+y=9​

Use Any Method to Solve the System of Linear Equations $\left\{ \begin{array} { c } 4 x - 5 y = 13 \\5 x + y = 9\end{array} \right.$