Is -2 and six a solution to the system of these liner equation X plus 2Y was 10 and 3X plus Y equals zero and why

Answer 1

To determine if (-2, 6) is a solution to the system of linear equations, we substitute the values x = -2 and y = 6 into both equations and check if the equations hold true:

First equation:
x + 2y = 10
-2 + 2(6) = 10
-2 + 12 = 10
10 = 10

The first equation is true when x = -2 and y = 6.

Second equation:
3x + y = 0
3(-2) + 6 = 0
-6 + 6 = 0
0 = 0

The second equation is also true when x = -2 and y = 6.

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