Question

Is (−2, 6)
(
−
2
,

6
)
a solution to the system of these linear equations: x+2y=10
𝑥
+
2
𝑦
=
10
and 3x+y=0
3
𝑥
+
𝑦
=
0
? Why?(1 point)
Responses

Yes, because the graphs intersect at (−2, 6)
(
−
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)
(
−
2
,

6
)
.
Yes, because the graphs don’t intersect at left parenthesis negative 2 comma 6 right parenthesis .

No, because the graphs intersect at (−2, 6)
(
−
2
,

6
)
.
No, because the graphs intersect at left parenthesis negative 2 comma 6 right parenthesis .

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

6
)
.

Answer 1

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