Question

Is (-2. 6) a solution to the system of these linear equations: ~ + 2y = 10 and 3a + y = 0? Why? (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if (-2, 6) is a solution to the system of linear equations, we need to substitute x=-2 and y=6 into both equations and see if they are true.

For the first equation ~ + 2y = 10:
-2 + 2(6) = 10
-2 + 12 = 10
10 = 10
The first equation is true for the values x=-2 and y=6.

For the second equation 3x + y = 0:
3(-2) + 6 = 0
-6 + 6 = 0
0 = 0
The second equation is also true for the values x=-2 and y=6.

Since both equations are true for x=-2 and y=6, (-2, 6) is a solution to the system of linear equations.