Question

Tell whether the order pair is a solutionof the given system.(3,1) x+3y=6 4x-5y=7

Answer 1

If the ordered pair is a solution, then the two equations in the system should be true after we plug in the points, like so:

(3) + 3(1) = 6  and 4(3) - 5(1) = 7

Then you simplify.   3 + 3 = 6 and 12 - 5 = 7, therefore the ordered pair is a solution of the given system.