Question

Check whether (– 1, 5) is a solution of each system of equations.
x+y=4
x-y=6

Answer 1

-1 is our 'x' coordinate, and 5 is our y coordinate. Another way to state this is:
(x = -1), (y = 5).

All ya have to do now is plug these values into each given equation and then determine whether or not the answer is true. Here. Lemme show ya:

x + y = 4
(-1) + (5) = 4
4 = 4.
TRUE! So we know that (-1, 5) is a solution of the equation: x + y = 4.

Let's try this same procedure with the second equation.

x - y = 6
(-1) - (5) = 6
But -1 - 5 comes up to -6.
So we end up saying:
-6 = 6.
Is that true at all! Nopety-nopety-no.

So the first equation checks out to be correct, and the second one doesn't!

Good luck! Rock on!