He equations9x-10y=6, 8x-10y=-23, 9x+10y=-16 and 8x+10y=13 are shown on the graph below.

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

(-2.3, 0.5)

(-2.5, 1)

(-2.3, - 0.5)

(-2.5, - 1)

(-2.3,0.5)

Step-by-step explanation:

Take the second equation we have y = (-16-9X) / 10

Then, we will subtitute the value of y on the first equation

8X - 10 (-16-9X/10) = -23

Because 10 is denominator, it will delate with the numeber 10 that is multipling the - 16-9X. Then the equation is

8X - (-16-9X) = -23

then: 8x+16+9X=-23 So, 17x=-23-16 = > X=-2.3

Then we put the value of X in the first equation so

9 (-2.3) - 10y=-16 = > 10y=-16+20.7

So, y=0.5

A (-2.3,0.5)