Question

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 .

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

Answer 1

Yes. Substitute (-2, 6): x + 2y = -2 + 2(6) = 10 and 3x + y = 3(-2) + 6 = 0. Both equations are true, so the point is a solution (the graphs intersect at (-2, 6)).