Question

Is the ordered pair a solution to the system of linear equations?

Answer 1

​-7x + 2y = 0
6x + 6y = 0
​ordered pair: (−2,2)

the way to figure out if that ordered pair is a solution is pretty simple, you just plug the ordered pair into both equations, and check if the outcome is true.

​-7(-2) + 2(2) = 0
14 + 4 = 0
18 = 0 is NOT true, so this isn't a solution. still, check your second equation as well.

6x + 6y = 0
6(-2) + 6(2) = 0
-12 + 12 = 0

for this equation, it is a solution. however, because the solution must apply to the system as a whole, and not just one of the equations, the ordered pair still is not a solution.