Question

x - 2y = 11\\
-5x + 4y = -1\\
(\boxed{\quad})\\
(\boxed{\quad})\\
submit

Explanation:

Step1: Solve the system of equations

We have the system of linear equations:
\[

$$\begin{cases} x - 2y = 11 \\ -5x + 4y = -1 \end{cases}$$

\]
First, we can solve the first equation for \(x\):
From \(x - 2y = 11\), we get \(x=2y + 11\).

Step2: Substitute \(x\) into the second equation

Substitute \(x = 2y+11\) into \(-5x + 4y=-1\):
\[

$$\begin{align*} -5(2y + 11)+4y&=-1\\ -10y-55 + 4y&=-1\\ -6y-55&=-1\\ -6y&=54\\ y&=- 9 \end{align*}$$

\]

Step3: Find the value of \(x\)

Substitute \(y = - 9\) into \(x = 2y+11\):
\[
x=2\times(-9)+11=-18 + 11=-7
\]

Answer:

The solution to the system of equations is \(x=-7\) and \(y = - 9\). If we assume the boxes are for the solution of \(x\) and \(y\) (from the context of the system of equations), the top box (for \(x\)) is \(-7\) and the bottom box (for \(y\)) is \(-9\).