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 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)
.
No, because the graphs don’t 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 intersect at (−2, 6)
.

Answer 1

Yes — because (-2, 6) satisfies both equations.

Check: x + 2y = -2 + 2(6) = -2 + 12 = 10, and 3x + y = 3(-2) + 6 = -6 + 6 = 0.
So the graphs intersect at (-2, 6).