Question

Which is the approximate solution for the system of equations 8x - 10y = -23 and 9x + 10y = -16?

Answer 1

Answer:
`x=-(39)/(17)\\y=(79)/(170)`

Explanation:

1. To solve the system of equations you can apply the Elimination method:

- Sum both equations:

`8x-10y=-23\\9x+10y=-16\\--------\\17x=-39`

- Solve for x:

`x=-(39)/(17)`

- Substitute x into one of the original equations and solve for y:

`9(-(39)/(17))+10y=-16\\10y=(79)/(17)\\y=(79)/(170)`

2. The answer is:

`x=-(39)/(17)\\y=(79)/(170)`

3. In the figure attached you can see the graph with the approximate solution.