Is (−2, 6) a solution to the system of these linear equations:

x + 2y = 10 and 3x + y = 0? Why?

No, because the graphs intersect at (-2, 6)
No, because the graphs don't intersect at (-2, 6)
Yes, because the graphs don't intersect at (-2, 6)
Yes, because the graphs intersect at (-2, 6)

3 answers

No, because when we substitute x = -2 and y = 6 into the first equation, we get -2 + 2(6) = 10, which is false. Substituting these values into the second equation, we get 3(-2) + 6 = 0, which is true. Therefore, (-2, 6) is not a solution to the system of equations.
choose an answer from the question
No, because the graphs don't intersect at (-2, 6)