Is (−2, 6) a solution to the system of these linear equations: x+2y=10 and 3x+y=0

Question

? Why?
Responses

Yes, because the graphs don’t intersect at (−2, 6)

.
Yes, because the graphs don’t intersect at (−2, 6)
. - incorrect
No, because the graphs intersect at (−2, 6)
.
No, because the graphs intersect at (−2, 6)
. - no response given
No, because the graphs don’t intersect at (−2, 6)
.
No, because the graphs don’t intersect at (−2, 6)
. - no response given
Yes, because the graphs intersect at (−2, 6)
.

Answer 1

No, because when we substitute x = -2 and y = 6 into the equations x + 2y = 10 and 3x + y = 0, we do not get true statements. Therefore, (-2, 6) is not a solution to the system of linear equations.