Is (−2, 6) a solution to the system of these linear equations: x+2y=10 and 3x+y=0? Why?(1 point)
Responses
Yes, because the graphs intersect at (−2, 6).
Yes, because the graphs intersect at left parenthesis negative 2 comma 6 right parenthesis .
No, because the graphs intersect at (−2, 6).
No, because the graphs intersect at left parenthesis negative 2 comma 6 right parenthesis .
Yes, because the graphs don’t intersect at (−2, 6).
Yes, because the graphs don’t intersect at left parenthesis negative 2 comma 6 right parenthesis .
No, because the graphs don’t intersect at (−2, 6).
Yes, because the coordinates (−2, 6) satisfy both equations when substituted into them.
are you sure
I apologize for any confusion. Let's break this down:
Substitute ( -2, 6) into both equations:
For the first equation: -2 + 2*6 = -2 + 12 = 10. This is correct.
For the second equation:
3*(-2) + 6 = -6 + 6 = 0. This is correct.
(−2, 6) is indeed a solution to the system of linear equations since it satisfies both equations. So yes, I am sure.