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

A No, because the graphs don’t intercept at (-2,6)
B Yes, because the graph intercepts at (-2,6)
C No because the graph intercepts at (-2,6)
D Yes, because the graph don’t intercept that (-2,6)

B Yes, because the graph intercepts at (-2,6)

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

1) -2 + 2(6) = 10
-2 + 12 = 10
10 = 10

2) 3(-2) + 6 = 0
-6 + 6 = 0
0 = 0

Since both equations are true when (-2,6) is substituted in, (-2,6) is a solution to the system of equations.