is -2,6 to the system of these linear equations: x+2y = 10 and 3x + y = 0. the answer is yes, because the graphs intersect at -2, 6. can you explain why this answer is correct
Yes, the answer is correct because when you substitute x = -2 and y = 6 into the equations x + 2y = 10 and 3x + y = 0, both equations are satisfied.
For the first equation x + 2y = 10:
-2 + 2(6) = 10
-2 + 12 = 10
10 = 10
For the second equation 3x + y = 0:
3(-2) + 6 = 0
-6 + 6 = 0
0 = 0
Since both equations are satisfied when x = -2 and y = 6, the point (-2, 6) is a solution to the system of linear equations x + 2y = 10 and 3x + y = 0.