Determine whether the ordered pair (2,3) is a solution of the system.

Question

x + y = 5

x - y = -1

is this a solution yes or no

Answer 1

The simplest way is to put the points x = 2 and y = 3 into both equations. If the equation is correct with this point, (2,3), then the point is a solution.

In the first equation, we have x + y = 5. With x = 2 and y = 3, we get 2 + 3 = 5. CORRECT!

In the 2nd equation, we have x - y = -1. With x = 2 and y = 3, we get 2 - 3 = -1. CORRECT!

Therefore, the point (2,3) is a solution!

Hope this helps!