Question

1. \

$$\begin{cases} -x + 2y = -9 \\\\ 5x - 10y = 0 \\end{cases}$$

Explanation:

Step1: Simplify the second equation

Divide the second equation by 5:
$x - 2y = 0$
Rearrange to get: $x = 2y$

Step2: Substitute into first equation

Substitute $x = 2y$ into $-x + 2y = -9$:
$-(2y) + 2y = -9$

Step3: Simplify and analyze the result

Simplify the left-hand side:
$ -2y + 2y = -9 \\
0 = -9 $

This is a false statement, meaning there is no solution to the system.

Answer:

There is no solution to the system of equations.