Is (–1,–10) a solution to this system of equations?

y=–8x+7
y=6x+5

1 answer

To check if (-1, -10) is a solution to the system of equations y = -8x + 7 and y = 6x + 5, we can substitute the x and y values into both equations and see if they are satisfied.

For the first equation y = -8x + 7:
y = -8(-1) + 7
y = 8 + 7
y = 15

Now, substitute these values into the second equation y = 6x + 5:
15 = 6(-1) + 5
15 = -6 + 5
15 = -1

The y value obtained from the first equation does not satisfy the second equation. Therefore, (-1, -10) is not a solution to the system of equations y = -8x + 7 and y = 6x + 5.