Question

Is (4,2) a solution to the system y-x=2 and -3x -2y= -8

Answer 1

To figure out the answer here, all you have to do is plug the given point into your equations and see if the result is true:

(4, 2)  .... aka (x, y)

2 - 4 = 2
-2 = 2  ... this one is FALSE, as -2 doesn't equal 2, so already you can tell that the point won't be a solution, but still, check the second equation.

-3(4) - 2(2) = -8
-12 - 4 = -8
-16 = -8  .... this one is also false. (4, 2) is not a solution for this system of equations.