Answer: [tex]x=-\frac{39}{17}\\y=\frac{79}{170}[/tex]
Step-by-step explanation:
1. To solve the system of equations you can apply the Elimination method:
- Sum both equations:
[tex]8x-10y=-23\\9x+10y=-16\\--------\\17x=-39[/tex]
- Solve for x:
[tex]x=-\frac{39}{17}[/tex]
- Substitute x into one of the original equations and solve for y:
[tex]9(-\frac{39}{17})+10y=-16\\10y=\frac{79}{17}\\y=\frac{79}{170}[/tex]
2. The answer is:
[tex]x=-\frac{39}{17}\\y=\frac{79}{170}[/tex]
3. In the figure attached you can see the graph with the approximate solution.
