حل النظام open curly brackets table attributes columnalign left end attributes row cell 4 x minus 5 y equals 9 end cell row cell negative 8 x plus 10 y equals 18 end cell end table close

Solution:
1. Given system of equations:
* 4x - 5y = 9
* -8x + 10y = 18

2. Choose a method to solve the system. Here, we will use the elimination method:
* Multiply the first equation by 2 to match the coefficients of x:
(4x - 5y = 9) \times 2 \Rightarrow 8x - 10y = 18

3. Now add this equation to the second equation to eliminate x:
8x - 10y = 18
-8x + 10y = 18
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0 = 36

4. The equation 0 = 36 is false, indicating there is no solution.

Therefore, the system of equations is inconsistent.