Is (−2, 6) a solution to the system of these linear equations: x+2y=10 and 3x+y=0? Why?(1 point)
Responses
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 .
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 don’t intersect at (−2, 6).
Yes, because the point (-2, 6) satisfies both equations:
For the first equation, x+2y=10, when x=-2 and y=6, the equation becomes -2+2(6)=10, which is true.
For the second equation, 3x+y=0, when x=-2 and y=6, the equation becomes 3(-2)+6=0, which is also true.