Question

Is(-2,6) a solution to the system of these linear equations X plus 2Y equals 10 and 3X plus Y equals 0 why

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if (-2, 6) is a solution to the system of linear equations X + 2Y = 10 and 3X + Y = 0, we can substitute the values of X and Y into the equations and see if they hold true.

1. X + 2Y = 10
Substitute X = -2 and Y = 6:
-2 + 2(6) = -2 + 12 = 10
This equation is incorrect, as -2 + 12 does not equal 10.

2. 3X + Y = 0
Substitute X = -2 and Y = 6:
3(-2) + 6 = -6 + 6 = 0
This equation is correct, as -6 + 6 equals 0.

Since (-2, 6) does not satisfy the first equation X + 2Y = 10, it is not a solution to the system of linear equations.