Question

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

Answer 1

Answer: $x=-\frac{39}{17}\\y=\frac{79}{170}$

Step-by-step 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:

$x=-\frac{39}{17}$

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

$9(-\frac{39}{17})+10y=-16\\10y=\frac{79}{17}\\y=\frac{79}{170}$

2. The answer is:

$x=-\frac{39}{17}\\y=\frac{79}{170}$

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